113790096000 has 1536 divisors, whose sum is σ = 501816107520. Its totient is φ = 25082265600.

The previous prime is 113790095959. The next prime is 113790096001. The reversal of 113790096000 is 690097311.

113790096000 is a `hidden beast` number, since 11 + 37 + 9 + 0 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113790096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1006991944 + ... + 1006992056.

It is an arithmetic number, because the mean of its divisors is an integer number (326703195).

Almost surely, 2^113790096000 is an apocalyptic number.

113790096000 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 113790096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250908053760).

113790096000 is an abundant number, since it is smaller than the sum of its proper divisors (388026011520).

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

113790096000 is an equidigital number, since it uses as much as digits as its factorization.

113790096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 113790096000 in words is "one hundred thirteen billion, seven hundred ninety million, ninety-six thousand".