Using the in-built capabilities of your language, calculate the integer value of:

        
  
    
      
        
          5
          
            
              4
              
                
                  3
                  
                    2
                  
                
              
            
          
        
      
    
    {\displaystyle 5^{4^{3^{2}}}}
  


 Confirm that the first and last twenty digits of the answer are: 
     62060698786608744707...92256259918212890625

 Find and show the number of decimal digits in the answer.


Note: Do not submit an implementation of arbitrary precision arithmetic. The intention is to show the capabilities of the language as supplied. If a language has a single, overwhelming, library of varied modules that is endorsed by its home site – such as CPAN for Perl or Boost for C++ – then that may be used instead.
Strictly speaking, this should not be solved by fixed-precision numeric libraries where the precision has to be manually set to a large value; although if this is the only recourse then it may be used with a note explaining that the precision must be set manually to a large enough value.


Related tasks

   Long multiplication
   Exponentiation order
   exponentiation operator
   Exponentiation with infix operators in (or operating on) the base


 
--REXX program to show arbitrary precision integers.
numeric digits 200000
check = '62060698786608744707...92256259918212890625'
 
start = .datetime~new
n = 5 ** (4 ** (3**2))
time = .datetime~new - start
say 'elapsed time for the calculation:' time
say
sampl = left(n, 20)"..."right(n, 20)
 
say ' check:' check
say 'Sample:' sampl
say 'digits:' length(n)
say
 
if check=sampl then say 'passed!'
               else say 'failed!'
 