113559768720 has 160 divisors (see below), whose sum is σ = 391391913600. Its totient is φ = 30263901696.

The previous prime is 113559768709. The next prime is 113559768739. The reversal of 113559768720 is 27867955311.

113559768720 is a `hidden beast` number, since 1 + 1 + 3 + 559 + 7 + 6 + 87 + 2 + 0 = 666.

It is a super-3 number, since 3×113559768720³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3676059 + ... + 3706821.

It is an arithmetic number, because the mean of its divisors is an integer number (2446199460).

Almost surely, 2^113559768720 is an apocalyptic number.

113559768720 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 113559768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195695956800).

113559768720 is an abundant number, since it is smaller than the sum of its proper divisors (277832144880).

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

113559768720 is a wasteful number, since it uses less digits than its factorization.

113559768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32494 (or 32482 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 113559768720 in words is "one hundred thirteen billion, five hundred fifty-nine million, seven hundred sixty-eight thousand, seven hundred twenty".