For solving this I again used my handy bigInt class for C++ which still lacks the division operation but has all it needs to sovle this task. Although, I encountered another problem, for some reason the submission receives "Abort Called" message when submitted in hackerrank , I don't know the reason, it works fine on my computer, anyway, I made a precalculated list of factorials and got accepted, either way the class itself is included in the source code below, it works fine.
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