The Dutch attacker struck three past Ralf Fahrmann as his side demolished Jens Keller's men to go 20 points clear at the top of the league.
Pep Guardiola's charges scored four goals in the first 30 minutes without reply to compound further misery on Schalke, who suffered a 6-1 defeat to Real Madrid in the Champions League on Wednesday.
"It was one of the best first halves I've seen since I've been here," Robben said after the game. "We were aggressive and didn't let them play.
"We want to stay in this form, we're playing with so much passion. We want to carry that on in the Champions League.
"Manuel Neuer took the match ball into the dressing room but I've got it back now!"
Schalke coach Keller, on the other hand, felt the complete opposite about his team's display, describing his team's performance as a catastrophe.
"The first half was the worst thing I've ever seen from us. The way we have lost is catastrophic. We have played against two exceptional teams, but our performances were exceptionally bad.”
Goalkeeper Ralf Fahrmann was equally devastated, insisting the Schalke players must take responsibility for the result.
"We're all disappointed. We need to stand up and be counted, we didn't stick to our plan. There's nothing better than playing against Bayern here, but we didn't deliver," he said.
"Every single one of us needs to take at look at himself - we must be men!"