117815593694400 has 840 divisors, whose sum is σ = 510891756041216. Its totient is φ = 26060585932800.

The previous prime is 117815593694353. The next prime is 117815593694441. The reversal of 117815593694400 is 4496395518711.

117815593694400 is a `hidden beast` number, since 1 + 1 + 7 + 8 + 1 + 55 + 93 + 6 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26028567 + ... + 30217833.

Almost surely, 2^{117815593694400} is an apocalyptic number.

117815593694400 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 117815593694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255445878020608).

117815593694400 is an abundant number, since it is smaller than the sum of its proper divisors (393076162346816).

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

117815593694400 is a wasteful number, since it uses less digits than its factorization.

117815593694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189339 (or 4189315 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 117815593694400 in words is "one hundred seventeen trillion, eight hundred fifteen billion, five hundred ninety-three million, six hundred ninety-four thousand, four hundred".