113907582720 has 576 divisors, whose sum is σ = 423181584000. Its totient is φ = 28975693824.

The previous prime is 113907582709. The next prime is 113907582751. The reversal of 113907582720 is 27285709311.

113907582720 is a `hidden beast` number, since 11 + 39 + 0 + 7 + 582 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×113907582720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 89198722 + ... + 89199998.

It is an arithmetic number, because the mean of its divisors is an integer number (734690250).

Almost surely, 2^113907582720 is an apocalyptic number.

113907582720 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 113907582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211590792000).

113907582720 is an abundant number, since it is smaller than the sum of its proper divisors (309274001280).

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

113907582720 is a wasteful number, since it uses less digits than its factorization.

113907582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 113907582720 in words is "one hundred thirteen billion, nine hundred seven million, five hundred eighty-two thousand, seven hundred twenty".