112585074094080 has 1664 divisors, whose sum is σ = 478694181027840. Its totient is φ = 24560554475520.

The previous prime is 112585074094079. The next prime is 112585074094121. The reversal of 112585074094080 is 80490470585211.

112585074094080 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 507 + 40 + 94 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8759432934 + ... + 8759445786.

Almost surely, 2^{112585074094080} is an apocalyptic number.

112585074094080 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 112585074094080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239347090513920).

112585074094080 is an abundant number, since it is smaller than the sum of its proper divisors (366109106933760).

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

112585074094080 is a wasteful number, since it uses less digits than its factorization.

112585074094080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13002 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 112585074094080 in words is "one hundred twelve trillion, five hundred eighty-five billion, seventy-four million, ninety-four thousand, eighty".