113795993625600 has 2112 divisors, whose sum is σ = 471721427896320. Its totient is φ = 23781703680000.

The previous prime is 113795993625583. The next prime is 113795993625623. The reversal of 113795993625600 is 6526399597311.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14815253760 + ... + 14815261440.

Almost surely, 2^{113795993625600} is an apocalyptic number.

113795993625600 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 113795993625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235860713948160).

113795993625600 is an abundant number, since it is smaller than the sum of its proper divisors (357925434270720).

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

113795993625600 is a wasteful number, since it uses less digits than its factorization.

113795993625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7828 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 82668600, while the sum is 66.

The spelling of 113795993625600 in words is "one hundred thirteen trillion, seven hundred ninety-five billion, nine hundred ninety-three million, six hundred twenty-five thousand, six hundred".