117374950264320 has 2560 divisors, whose sum is σ = 520635962880000. Its totient is φ = 24456212250624.

The previous prime is 117374950264237. The next prime is 117374950264333. The reversal of 117374950264320 is 23462059473711.

117374950264320 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 7 + 4 + 9 + 50 + 264 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 105838547926 + ... + 105838549034.

It is an arithmetic number, because the mean of its divisors is an integer number (203373423000).

Almost surely, 2^{117374950264320} is an apocalyptic number.

117374950264320 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 117374950264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260317981440000).

117374950264320 is an abundant number, since it is smaller than the sum of its proper divisors (403261012615680).

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

117374950264320 is a wasteful number, since it uses less digits than its factorization.

117374950264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 117374950264320 in words is "one hundred seventeen trillion, three hundred seventy-four billion, nine hundred fifty million, two hundred sixty-four thousand, three hundred twenty".