117129220175520 has 576 divisors, whose sum is σ = 497617328759040. Its totient is φ = 25608375023616.

The previous prime is 117129220175491. The next prime is 117129220175629. The reversal of 117129220175520 is 25571022921711.

117129220175520 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 2 + 92 + 2 + 0 + 1 + 7 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7160307 + ... + 16897586.

It is an arithmetic number, because the mean of its divisors is an integer number (863918973540).

Almost surely, 2^{117129220175520} is an apocalyptic number.

117129220175520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117129220175520 is an abundant number, since it is smaller than the sum of its proper divisors (380488108583520).

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

117129220175520 is a wasteful number, since it uses less digits than its factorization.

117129220175520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24057954 (or 24057933 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 117129220175520 in words is "one hundred seventeen trillion, one hundred twenty-nine billion, two hundred twenty million, one hundred seventy-five thousand, five hundred twenty".