111504612960 has 1152 divisors, whose sum is σ = 474329157120. Its totient is φ = 24437293056.

The previous prime is 111504612959. The next prime is 111504612971. The reversal of 111504612960 is 69216405111.

111504612960 is a `hidden beast` number, since 1 + 1 + 1 + 504 + 61 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×111504612960² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 163256779 + ... + 163257461.

It is an arithmetic number, because the mean of its divisors is an integer number (411744060).

Almost surely, 2^111504612960 is an apocalyptic number.

111504612960 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 111504612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237164578560).

111504612960 is an abundant number, since it is smaller than the sum of its proper divisors (362824544160).

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

111504612960 is a wasteful number, since it uses less digits than its factorization.

111504612960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 111504612960 in words is "one hundred eleven billion, five hundred four million, six hundred twelve thousand, nine hundred sixty".