113760709920 has 1152 divisors, whose sum is σ = 479322095616. Its totient is φ = 24192000000.

The previous prime is 113760709891. The next prime is 113760709949. The reversal of 113760709920 is 29907067311.

113760709920 is a `hidden beast` number, since 1 + 1 + 37 + 607 + 0 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113760709891) and next prime (113760709949).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 453229795 + ... + 453230045.

It is an arithmetic number, because the mean of its divisors is an integer number (416078208).

Almost surely, 2^113760709920 is an apocalyptic number.

113760709920 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 113760709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239661047808).

113760709920 is an abundant number, since it is smaller than the sum of its proper divisors (365561385696).

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

113760709920 is a wasteful number, since it uses less digits than its factorization.

113760709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 113760709920 in words is "one hundred thirteen billion, seven hundred sixty million, seven hundred nine thousand, nine hundred twenty".