112580264160 has 1152 divisors, whose sum is σ = 506783257344. Its totient is φ = 22083010560.

The previous prime is 112580264101. The next prime is 112580264219. The reversal of 112580264160 is 61462085211.

It is a happy number.

112580264160 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 0 + 2 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112580264101) and next prime (112580264219).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 216084700 + ... + 216085220.

It is an arithmetic number, because the mean of its divisors is an integer number (439916022).

Almost surely, 2^112580264160 is an apocalyptic number.

112580264160 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 112580264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253391628672).

112580264160 is an abundant number, since it is smaller than the sum of its proper divisors (394202993184).

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

112580264160 is a wasteful number, since it uses less digits than its factorization.

112580264160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 112580264160 in words is "one hundred twelve billion, five hundred eighty million, two hundred sixty-four thousand, one hundred sixty".