# I don't even have this cube!

**Computer Science**Level pending

This is a \( \displaystyle 4\times 4\times 4 \) Rubik's cube. It has \( \displaystyle 401 196 841 564 901 869 874 093 974 498 574 336 000 000 000 \) combinations! It has 9 trailing zeroes.

Find the number of trailing zeroes in the number of combinations of the \( \displaystyle 25\times25\times25 \) Rubik's cube.

**Details**:

- Do not disassemble the cube, it's expensive.
- Calculators are allowed.