113291019878400 has 4896 divisors, whose sum is σ = 536701393912320. Its totient is φ = 23054663024640.

The previous prime is 113291019878297. The next prime is 113291019878417. The reversal of 113291019878400 is 4878910192311.

113291019878400 is a `hidden beast` number, since 1 + 1 + 32 + 9 + 10 + 198 + 7 + 8 + 400 = 666.

113291019878400 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 (54).

It is a congruent number.

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, 1920186777571 + ... + 1920186777629.

Almost surely, 2^{113291019878400} is an apocalyptic number.

113291019878400 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 113291019878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268350696956160).

113291019878400 is an abundant number, since it is smaller than the sum of its proper divisors (423410374033920).

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

113291019878400 is an frugal number, since it uses more digits than its factorization.

113291019878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 113291019878400 in words is "one hundred thirteen trillion, two hundred ninety-one billion, nineteen million, eight hundred seventy-eight thousand, four hundred".