113295052800 has 468 divisors, whose sum is σ = 408198321180. Its totient is φ = 30033838080.

The previous prime is 113295052789. The next prime is 113295052817. The reversal of 113295052800 is 8250592311.

113295052800 is a `hidden beast` number, since 1 + 1 + 329 + 50 + 5 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4490072064 + 108804980736 = 67008^2 + 329856^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 247910172 + ... + 247910628.

It is an arithmetic number, because the mean of its divisors is an integer number (872218635).

Almost surely, 2^113295052800 is an apocalyptic number.

113295052800 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 113295052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204099160590).

113295052800 is an abundant number, since it is smaller than the sum of its proper divisors (294903268380).

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

113295052800 is a wasteful number, since it uses less digits than its factorization.

113295052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 113295052800 in words is "one hundred thirteen billion, two hundred ninety-five million, fifty-two thousand, eight hundred".