115731110880 has 768 divisors, whose sum is σ = 508844851200. Its totient is φ = 23865477120.

The previous prime is 115731110879. The next prime is 115731110893. The reversal of 115731110880 is 88011137511.

115731110880 is a `hidden beast` number, since 1 + 1 + 573 + 1 + 1 + 1 + 0 + 8 + 80 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 46235709 + ... + 46238211.

It is an arithmetic number, because the mean of its divisors is an integer number (662558400).

Almost surely, 2^115731110880 is an apocalyptic number.

115731110880 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 115731110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254422425600).

115731110880 is an abundant number, since it is smaller than the sum of its proper divisors (393113740320).

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

115731110880 is a wasteful number, since it uses less digits than its factorization.

115731110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 36.

The spelling of 115731110880 in words is "one hundred fifteen billion, seven hundred thirty-one million, one hundred ten thousand, eight hundred eighty".