112764882585600 has 3456 divisors, whose sum is σ = 504144132710400. Its totient is φ = 24604773580800.

The previous prime is 112764882585577. The next prime is 112764882585623. The reversal of 112764882585600 is 6585288467211.

112764882585600 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 6 + 48 + 8 + 2 + 585 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112764882585577) and next prime (112764882585623).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174288844477 + ... + 174288845123.

It is an arithmetic number, because the mean of its divisors is an integer number (145875038400).

Almost surely, 2^{112764882585600} is an apocalyptic number.

112764882585600 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 112764882585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252072066355200).

112764882585600 is an abundant number, since it is smaller than the sum of its proper divisors (391379250124800).

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

112764882585600 is a wasteful number, since it uses less digits than its factorization.

112764882585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 112764882585600 in words is "one hundred twelve trillion, seven hundred sixty-four billion, eight hundred eighty-two million, five hundred eighty-five thousand, six hundred".