117265506624 has 560 divisors, whose sum is σ = 418670841600. Its totient is φ = 31729065984.

The previous prime is 117265506623. The next prime is 117265506641. The reversal of 117265506624 is 426605562711.

117265506624 is a `hidden beast` number, since 1 + 1 + 72 + 6 + 550 + 6 + 6 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117265506624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117265506623) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 90973372 + ... + 90974660.

Almost surely, 2^117265506624 is an apocalyptic number.

117265506624 is a gapful number since it is divisible by the number (14) 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 117265506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209335420800).

117265506624 is an abundant number, since it is smaller than the sum of its proper divisors (301405334976).

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

117265506624 is a wasteful number, since it uses less digits than its factorization.

117265506624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 117265506624 in words is "one hundred seventeen billion, two hundred sixty-five million, five hundred six thousand, six hundred twenty-four".