117976500817920 has 2496 divisors, whose sum is σ = 468694427894784. Its totient is φ = 27281011507200.

The previous prime is 117976500817817. The next prime is 117976500817921. The reversal of 117976500817920 is 29718005679711.

117976500817920 is a `hidden beast` number, since 1 + 1 + 7 + 97 + 6 + 500 + 8 + 17 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117976500817921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 402650173294 + ... + 402650173586.

It is an arithmetic number, because the mean of its divisors is an integer number (187778216304).

Almost surely, 2^{117976500817920} is an apocalyptic number.

117976500817920 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 117976500817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234347213947392).

117976500817920 is an abundant number, since it is smaller than the sum of its proper divisors (350717927076864).

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

117976500817920 is a wasteful number, since it uses less digits than its factorization.

117976500817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 63.

The spelling of 117976500817920 in words is "one hundred seventeen trillion, nine hundred seventy-six billion, five hundred million, eight hundred seventeen thousand, nine hundred twenty".