113095735920 has 320 divisors, whose sum is σ = 398424499200. Its totient is φ = 29477882880.

The previous prime is 113095735897. The next prime is 113095735937. The reversal of 113095735920 is 29537590311.

113095735920 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 57 + 3 + 592 + 0 = 666.

113095735920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23064189 + ... + 23069091.

It is an arithmetic number, because the mean of its divisors is an integer number (1245076560).

Almost surely, 2^113095735920 is an apocalyptic number.

113095735920 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 113095735920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199212249600).

113095735920 is an abundant number, since it is smaller than the sum of its proper divisors (285328763280).

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

113095735920 is a wasteful number, since it uses less digits than its factorization.

113095735920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 113095735920 in words is "one hundred thirteen billion, ninety-five million, seven hundred thirty-five thousand, nine hundred twenty".