117132457052160 has 6144 divisors, whose sum is σ = 538014597120000. Its totient is φ = 23793594531840.

The previous prime is 117132457052159. The next prime is 117132457052209. The reversal of 117132457052160 is 61250754231711.

117132457052160 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 3 + 24 + 570 + 52 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a super-2 number, since 2×117132457052160² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1985295882211 + ... + 1985295882269.

It is an arithmetic number, because the mean of its divisors is an integer number (87567480000).

Almost surely, 2^{117132457052160} is an apocalyptic number.

117132457052160 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 117132457052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269007298560000).

117132457052160 is an abundant number, since it is smaller than the sum of its proper divisors (420882140067840).

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

117132457052160 is a wasteful number, since it uses less digits than its factorization.

117132457052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 117132457052160 in words is "one hundred seventeen trillion, one hundred thirty-two billion, four hundred fifty-seven million, fifty-two thousand, one hundred sixty".