112724162880 has 672 divisors, whose sum is σ = 444719683584. Its totient is φ = 24062201856.

The previous prime is 112724162879. The next prime is 112724162891. The reversal of 112724162880 is 88261427211.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46521349 + ... + 46523771.

Almost surely, 2^112724162880 is an apocalyptic number.

112724162880 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 112724162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222359841792).

112724162880 is an abundant number, since it is smaller than the sum of its proper divisors (331995520704).

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

112724162880 is a wasteful number, since it uses less digits than its factorization.

112724162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 112724162880 in words is "one hundred twelve billion, seven hundred twenty-four million, one hundred sixty-two thousand, eight hundred eighty".