112935513600 has 2520 divisors, whose sum is σ = 553210451640. Its totient is φ = 22574039040.

The previous prime is 112935513589. The next prime is 112935513631. The reversal of 112935513600 is 6315539211.

It is a happy number.

112935513600 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 35 + 5 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 5943974391 + ... + 5943974409.

It is an arithmetic number, because the mean of its divisors is an integer number (219527957).

Almost surely, 2^112935513600 is an apocalyptic number.

112935513600 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 112935513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276605225820).

112935513600 is an abundant number, since it is smaller than the sum of its proper divisors (440274938040).

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

112935513600 is an equidigital number, since it uses as much as digits as its factorization.

112935513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 112935513600 in words is "one hundred twelve billion, nine hundred thirty-five million, five hundred thirteen thousand, six hundred".