117936872376960 has 1536 divisors, whose sum is σ = 472985091072000. Its totient is φ = 24470506045440.

The previous prime is 117936872376919. The next prime is 117936872377003. The reversal of 117936872376960 is 69673278639711.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50421919471 + ... + 50421921809.

It is an arithmetic number, because the mean of its divisors is an integer number (307933002000).

Almost surely, 2^{117936872376960} is an apocalyptic number.

117936872376960 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 117936872376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236492545536000).

117936872376960 is an abundant number, since it is smaller than the sum of its proper divisors (355048218695040).

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

117936872376960 is a wasteful number, since it uses less digits than its factorization.

117936872376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 864162432, while the sum is 75.

The spelling of 117936872376960 in words is "one hundred seventeen trillion, nine hundred thirty-six billion, eight hundred seventy-two million, three hundred seventy-six thousand, nine hundred sixty".