10917953356800 has 1056 divisors, whose sum is σ = 43837354586880. Its totient is φ = 2339477913600.

The previous prime is 10917953356789. The next prime is 10917953356823. The reversal of 10917953356800 is 865335971901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2458442580 + ... + 2458447020.

Almost surely, 2^{10917953356800} is an apocalyptic number.

10917953356800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10917953356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21918677293440).

10917953356800 is an abundant number, since it is smaller than the sum of its proper divisors (32919401230080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10917953356800 is a wasteful number, since it uses less digits than its factorization.

10917953356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 10917953356800 in words is "ten trillion, nine hundred seventeen billion, nine hundred fifty-three million, three hundred fifty-six thousand, eight hundred".