115582396160 has 576 divisors, whose sum is σ = 369634212864. Its totient is φ = 33521664000.

The previous prime is 115582396157. The next prime is 115582396169. The reversal of 115582396160 is 61693285511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115582396169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169227179 + ... + 169227861.

It is an arithmetic number, because the mean of its divisors is an integer number (641726064).

Almost surely, 2^115582396160 is an apocalyptic number.

115582396160 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 115582396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184817106432).

115582396160 is an abundant number, since it is smaller than the sum of its proper divisors (254051816704).

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

115582396160 is a wasteful number, since it uses less digits than its factorization.

115582396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The spelling of 115582396160 in words is "one hundred fifteen billion, five hundred eighty-two million, three hundred ninety-six thousand, one hundred sixty".