113376107980800 has 3456 divisors, whose sum is σ = 517011846624000. Its totient is φ = 24033110261760.

The previous prime is 113376107980781. The next prime is 113376107980847. The reversal of 113376107980800 is 8089701673311.

113376107980800 is a `hidden beast` number, since 1 + 1 + 3 + 376 + 107 + 98 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 108080178676 + ... + 108080179724.

It is an arithmetic number, because the mean of its divisors is an integer number (149598335250).

Almost surely, 2^{113376107980800} is an apocalyptic number.

113376107980800 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 113376107980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258505923312000).

113376107980800 is an abundant number, since it is smaller than the sum of its proper divisors (403635738643200).

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

113376107980800 is a wasteful number, since it uses less digits than its factorization.

113376107980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 113376107980800 in words is "one hundred thirteen trillion, three hundred seventy-six billion, one hundred seven million, nine hundred eighty thousand, eight hundred".