HYPSM
Top schools used by Americans in the US: Harvard, Yale, Princeton, Stanford, and MIT.

However, schools like Berkeley and Caltech are equal to or more well-known than Princeton in terms of prestige and clout internationally and arguably domestically.
Princeton kids say, “yeah, I go to HYPSM,” or “oh, I go to the number 1 school on USNews,” but never say that “they go to Princeton” when abroad directly to college bound folks because HYPSM is more well known and not accurate.