115502728320 has 768 divisors, whose sum is σ = 472357267200. Its totient is φ = 25456508928.

The previous prime is 115502728309. The next prime is 115502728321. The reversal of 115502728320 is 23827205511.

115502728320 is a `hidden beast` number, since 1 + 1 + 5 + 502 + 72 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115502728321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207365482 + ... + 207366038.

It is an arithmetic number, because the mean of its divisors is an integer number (615048525).

Almost surely, 2^115502728320 is an apocalyptic number.

115502728320 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 115502728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236178633600).

115502728320 is an abundant number, since it is smaller than the sum of its proper divisors (356854538880).

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

115502728320 is a wasteful number, since it uses less digits than its factorization.

115502728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115502728320 in words is "one hundred fifteen billion, five hundred two million, seven hundred twenty-eight thousand, three hundred twenty".