113888255040 has 560 divisors, whose sum is σ = 490243197312. Its totient is φ = 24499666944.

The previous prime is 113888255029. The next prime is 113888255137. The reversal of 113888255040 is 40552888311.

113888255040 is a `hidden beast` number, since 1 + 13 + 8 + 8 + 82 + 550 + 4 + 0 = 666.

113888255040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3066019 + ... + 3102941.

Almost surely, 2^113888255040 is an apocalyptic number.

113888255040 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 113888255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245121598656).

113888255040 is an abundant number, since it is smaller than the sum of its proper divisors (376354942272).

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

113888255040 is a wasteful number, since it uses less digits than its factorization.

113888255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36976 (or 36957 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 113888255040 in words is "one hundred thirteen billion, eight hundred eighty-eight million, two hundred fifty-five thousand, forty".