115232642560 has 320 divisors, whose sum is σ = 321729408000. Its totient is φ = 38769426432.

The previous prime is 115232642557. The next prime is 115232642561. The reversal of 115232642560 is 65246232511.

115232642560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×115232642560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115232642561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275018031 + ... + 275018449.

It is an arithmetic number, because the mean of its divisors is an integer number (1005404400).

Almost surely, 2^115232642560 is an apocalyptic number.

115232642560 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 115232642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704000).

115232642560 is an abundant number, since it is smaller than the sum of its proper divisors (206496765440).

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

115232642560 is a wasteful number, since it uses less digits than its factorization.

115232642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 115232642560 in words is "one hundred fifteen billion, two hundred thirty-two million, six hundred forty-two thousand, five hundred sixty".