115125616320 has 448 divisors, whose sum is σ = 437556639744. Its totient is φ = 25274695680.

The previous prime is 115125616303. The next prime is 115125616351. The reversal of 115125616320 is 23616521511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7267929 + ... + 7283751.

It is an arithmetic number, because the mean of its divisors is an integer number (976688928).

Almost surely, 2^115125616320 is an apocalyptic number.

115125616320 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 115125616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218778319872).

115125616320 is an abundant number, since it is smaller than the sum of its proper divisors (322431023424).

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

115125616320 is a wasteful number, since it uses less digits than its factorization.

115125616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15920 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

It can be divided in two parts, 115125 and 616320, that added together give a triangular number (731445 = T₁₂₀₉).

The spelling of 115125616320 in words is "one hundred fifteen billion, one hundred twenty-five million, six hundred sixteen thousand, three hundred twenty".