Elite Endowments for 2017

Other public universities with >$5B system-wide endowments include the University of Texas, Texas A&M, and University of California systems.
https://en.wikipedia.org/wiki/List_of_colleges_and_universities_in_the_United_States_by_endowment

If you consider endowment assets per FTE enrollment for only the flagship schools, Michigan-AA pulls ahead of most other public universities (and also ahead of several of the USNWR T20 private universities).
$2,662,280 … Princeton University
$1,758,916 … Yale University
$1,509,997 … Harvard University
$684,408 … University of Notre Dame
$489,535 … WUSTL
$477,992 … Duke University
$427,090 … University of Pennsylvania
$353,091 … Vanderbilt University
$337,175 … Brown University
$252,630 … University of Virginia-Main Campus

$220,027 … University of Michigan-Ann Arbor

$211,910 … Cornell University
$175,369 … TAMU - College Station
$149,304 … Johns Hopkins University
$97,337 … Georgetown University
$72,524 … The University of Texas at Austin
$54,157 … University of California-Los Angeles
$46,307 … University of California-Berkeley

Among LACS,
Pomona, Swarthmore, Amherst, Grinnell, and Williams each have >$1M endowments per student.

Source: IPEDS (2015 data, the latest available)