112875586560 has 880 divisors, whose sum is σ = 447263277120. Its totient is φ = 26993295360.

The previous prime is 112875586559. The next prime is 112875586589. The reversal of 112875586560 is 65685578211.

112875586560 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 5 + 586 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112875586497 and 112875586506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 497249167 + ... + 497249393.

It is an arithmetic number, because the mean of its divisors is an integer number (508253724).

Almost surely, 2^112875586560 is an apocalyptic number.

112875586560 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 112875586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223631638560).

112875586560 is an abundant number, since it is smaller than the sum of its proper divisors (334387690560).

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

112875586560 is a wasteful number, since it uses less digits than its factorization.

112875586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 112875586560 in words is "one hundred twelve billion, eight hundred seventy-five million, five hundred eighty-six thousand, five hundred sixty".