113776525920960 has 2240 divisors, whose sum is σ = 497591268894720. Its totient is φ = 24086778347520.

The previous prime is 113776525920931. The next prime is 113776525921001. The reversal of 113776525920960 is 69029525677311.

113776525920960 is a `hidden beast` number, since 1 + 1 + 37 + 7 + 6 + 5 + 2 + 592 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79619681526 + ... + 79619682954.

It is an arithmetic number, because the mean of its divisors is an integer number (222138959328).

Almost surely, 2^{113776525920960} is an apocalyptic number.

113776525920960 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 113776525920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248795634447360).

113776525920960 is an abundant number, since it is smaller than the sum of its proper divisors (383814742973760).

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

113776525920960 is a wasteful number, since it uses less digits than its factorization.

113776525920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 113776525920960 in words is "one hundred thirteen trillion, seven hundred seventy-six billion, five hundred twenty-five million, nine hundred twenty thousand, nine hundred sixty".