What was the largest battle, by number of participants, in which ancient Rome took part? Not counting sieges.
A quick Google search reveals nothing authoritative, but some discussion threads mention the battles of Adrianople (295K), Arausio (280K), Vercellae (260K), and -although a bit of a siege- Alesia (260K) - suggested by @ed.hank.
All these numbers come from Wikipedia, and can vary a lot, so I'm looking for something more reliable. My hope is some historian has addressed this, being the question so basic (and quite infantile).