113039120864880 has 480 divisors, whose sum is σ = 437142225821184. Its totient is φ = 25642462132224.

The previous prime is 113039120864869. The next prime is 113039120864881. The reversal of 113039120864880 is 88468021930311.

113039120864880 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 39 + 120 + 8 + 6 + 488 + 0 = 666.

113039120864880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113039120864880³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113039120864881) 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, 362517519 + ... + 362829201.

Almost surely, 2^{113039120864880} is an apocalyptic number.

113039120864880 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 113039120864880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218571112910592).

113039120864880 is an abundant number, since it is smaller than the sum of its proper divisors (324103104956304).

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

113039120864880 is a wasteful number, since it uses less digits than its factorization.

113039120864880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312253 (or 312244 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 113039120864880 in words is "one hundred thirteen trillion, thirty-nine billion, one hundred twenty million, eight hundred sixty-four thousand, eight hundred eighty".