112768796937600 has 1152 divisors, whose sum is σ = 439292258496000. Its totient is φ = 28509153361920.

The previous prime is 112768796937521. The next prime is 112768796937653. The reversal of 112768796937600 is 6739697867211.

It is a happy number.

112768796937600 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 8 + 7 + 9 + 6 + 9 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2020954501 + ... + 2021010299.

It is an arithmetic number, because the mean of its divisors is an integer number (381330085500).

Almost surely, 2^{112768796937600} is an apocalyptic number.

112768796937600 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 112768796937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219646129248000).

112768796937600 is an abundant number, since it is smaller than the sum of its proper divisors (326523461558400).

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

112768796937600 is a wasteful number, since it uses less digits than its factorization.

112768796937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55974 (or 55945 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 112768796937600 in words is "one hundred twelve trillion, seven hundred sixty-eight billion, seven hundred ninety-six million, nine hundred thirty-seven thousand, six hundred".