115930906031520 has 288 divisors, whose sum is σ = 396597094075728. Its totient is φ = 30838142582784.

The previous prime is 115930906031519. The next prime is 115930906031537. The reversal of 115930906031520 is 25130609039511.

115930906031520 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 3 + 0 + 9 + 0 + 603 + 15 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32690172171024 + 83240733860496 = 5717532^2 + 9123636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2393412742 + ... + 2393461178.

Almost surely, 2^{115930906031520} is an apocalyptic number.

115930906031520 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 115930906031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198298547037864).

115930906031520 is an abundant number, since it is smaller than the sum of its proper divisors (280666188044208).

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

115930906031520 is a wasteful number, since it uses less digits than its factorization.

115930906031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52552 (or 52541 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 115930906031520 in words is "one hundred fifteen trillion, nine hundred thirty billion, nine hundred six million, thirty-one thousand, five hundred twenty".