115510631605920 has 576 divisors, whose sum is σ = 410287924964736. Its totient is φ = 30689346355200.

The previous prime is 115510631605903. The next prime is 115510631605987. The reversal of 115510631605920 is 29506136015511.

115510631605920 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 0 + 6 + 31 + 605 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14608650607 + ... + 14608658513.

It is an arithmetic number, because the mean of its divisors is an integer number (712305425286).

Almost surely, 2^{115510631605920} is an apocalyptic number.

115510631605920 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 115510631605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205143962482368).

115510631605920 is an abundant number, since it is smaller than the sum of its proper divisors (294777293358816).

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

115510631605920 is an equidigital number, since it uses as much as digits as its factorization.

115510631605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 115510631605920 in words is "one hundred fifteen trillion, five hundred ten billion, six hundred thirty-one million, six hundred five thousand, nine hundred twenty".