113521564800 has 1920 divisors, whose sum is σ = 523399536000. Its totient is φ = 23648993280.

The previous prime is 113521564777. The next prime is 113521564811. The reversal of 113521564800 is 8465125311.

113521564800 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 1 + 5 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×113521564800³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1275523156 + ... + 1275523244.

It is an arithmetic number, because the mean of its divisors is an integer number (272603925).

Almost surely, 2^113521564800 is an apocalyptic number.

113521564800 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 113521564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261699768000).

113521564800 is an abundant number, since it is smaller than the sum of its proper divisors (409877971200).

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

113521564800 is a wasteful number, since it uses less digits than its factorization.

113521564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 113521564800 in words is "one hundred thirteen billion, five hundred twenty-one million, five hundred sixty-four thousand, eight hundred".