112753255680 has 864 divisors, whose sum is σ = 436481450496. Its totient is φ = 26697793536.

The previous prime is 112753255627. The next prime is 112753255711. The reversal of 112753255680 is 86552357211.

112753255680 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 532 + 55 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584213664 + ... + 584213856.

It is an arithmetic number, because the mean of its divisors is an integer number (505186864).

Almost surely, 2^112753255680 is an apocalyptic number.

112753255680 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 112753255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218240725248).

112753255680 is an abundant number, since it is smaller than the sum of its proper divisors (323728194816).

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

112753255680 is a wasteful number, since it uses less digits than its factorization.

112753255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 112753255680 in words is "one hundred twelve billion, seven hundred fifty-three million, two hundred fifty-five thousand, six hundred eighty".