117976188193920 has 3072 divisors, whose sum is σ = 506837934720000. Its totient is φ = 25236103495680.

The previous prime is 117976188193883. The next prime is 117976188193951. The reversal of 117976188193920 is 29391881679711.

117976188193920 is a `hidden beast` number, since 1 + 1 + 7 + 97 + 61 + 88 + 19 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 280228475310 + ... + 280228475730.

It is an arithmetic number, because the mean of its divisors is an integer number (164986306875).

Almost surely, 2^{117976188193920} is an apocalyptic number.

117976188193920 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 117976188193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253418967360000).

117976188193920 is an abundant number, since it is smaller than the sum of its proper divisors (388861746526080).

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

117976188193920 is a wasteful number, since it uses less digits than its factorization.

117976188193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 72.

The spelling of 117976188193920 in words is "one hundred seventeen trillion, nine hundred seventy-six billion, one hundred eighty-eight million, one hundred ninety-three thousand, nine hundred twenty".