117981599708160 has 2640 divisors, whose sum is σ = 473729849708544. Its totient is φ = 28017225105408.

The previous prime is 117981599708123. The next prime is 117981599708171. The reversal of 117981599708160 is 61807995189711.

117981599708160 is a `hidden beast` number, since 1 + 17 + 9 + 8 + 1 + 599 + 7 + 0 + 8 + 16 + 0 = 666.

It is a super-3 number, since 3×117981599708160³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 350093767512 + ... + 350093767848.

Almost surely, 2^{117981599708160} is an apocalyptic number.

117981599708160 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 117981599708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236864924854272).

117981599708160 is an abundant number, since it is smaller than the sum of its proper divisors (355748250000384).

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

117981599708160 is a wasteful number, since it uses less digits than its factorization.

117981599708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 72.

The spelling of 117981599708160 in words is "one hundred seventeen trillion, nine hundred eighty-one billion, five hundred ninety-nine million, seven hundred eight thousand, one hundred sixty".