How many queens can be on the board without neither forced mate nor forced stalemate (53?)? I was wondering how many queens can be put on boards without the position being a forced checkmate or a forced stalemate. The best I came up with is 53 this position.
[FEN &quot;QQQQQRK1/QQQQQPr1/QQQQQRNk/QQQQQQpB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ w - - 0 1&quot;]

Is there a way to fit 54 or more queens, given the constraints)? And if not, how would one show that more queens cannot be placed?
57 Queens:

[FEN "QQQQQB1k/QQQQQ1bq/QQQQQQKB/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ/QQQQQQQQ b - - 0 1"]


(edited FEN, White to move).
(2edited, thanks Noam D. Elkies)