112591079280 has 120 divisors (see below), whose sum is σ = 378300162240. Its totient is φ = 30009853440.

The previous prime is 112591079273. The next prime is 112591079281. The reversal of 112591079280 is 82970195211.

112591079280 is a `hidden beast` number, since 11 + 259 + 107 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×112591079280² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112591079281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505001 + ... + 1578039.

It is an arithmetic number, because the mean of its divisors is an integer number (3152501352).

Almost surely, 2^112591079280 is an apocalyptic number.

112591079280 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 112591079280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189150081120).

112591079280 is an abundant number, since it is smaller than the sum of its proper divisors (265709082960).

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

112591079280 is a wasteful number, since it uses less digits than its factorization.

112591079280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75199 (or 75190 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 112591079280 in words is "one hundred twelve billion, five hundred ninety-one million, seventy-nine thousand, two hundred eighty".