Great! One question answered. I was counting 24-25 visible, so we are in the ballpark.
OK, then - lets start at the front of the engine. Wikipedia stated that there were 16 stages of low pressure compressor and 16 stages of high pressure compressor with intercooling between them. (Nevermind the "four stages hydraulically clutched").
Looking at the photos of the hardware (and from general turbojet knowledge), I don't think that is so. What would lead me to me to that opinion?
(And while we are looking at the front of the engine, why do you think that the front frame has some 90 degree plumbing fittings attached?)