112759166880 has 960 divisors, whose sum is σ = 429951836160. Its totient is φ = 27782092800.

The previous prime is 112759166851. The next prime is 112759166881. The reversal of 112759166880 is 88661957211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112759166881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1588157245 + ... + 1588157315.

It is an arithmetic number, because the mean of its divisors is an integer number (447866496).

Almost surely, 2^112759166880 is an apocalyptic number.

112759166880 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 112759166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214975918080).

112759166880 is an abundant number, since it is smaller than the sum of its proper divisors (317192669280).

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

112759166880 is a wasteful number, since it uses less digits than its factorization.

112759166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 112759166880 in words is "one hundred twelve billion, seven hundred fifty-nine million, one hundred sixty-six thousand, eight hundred eighty".