117515162880 has 720 divisors, whose sum is σ = 452938291344. Its totient is φ = 28983951360.

The previous prime is 117515162879. The next prime is 117515162909. The reversal of 117515162880 is 88261515711.

117515162880 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 15 + 1 + 628 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1337803776 + 116177359104 = 36576^2 + 340848^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107515614 + ... + 107516706.

Almost surely, 2^117515162880 is an apocalyptic number.

117515162880 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 117515162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226469145672).

117515162880 is an abundant number, since it is smaller than the sum of its proper divisors (335423128464).

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

117515162880 is a wasteful number, since it uses less digits than its factorization.

117515162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 117515162880 in words is "one hundred seventeen billion, five hundred fifteen million, one hundred sixty-two thousand, eight hundred eighty".