111890056592160 has 1920 divisors, whose sum is σ = 496385717667840. Its totient is φ = 23058465177600.

The previous prime is 111890056592159. The next prime is 111890056592233. The reversal of 111890056592160 is 61295650098111.

It is a happy number.

111890056592160 is a `hidden beast` number, since 1 + 1 + 18 + 9 + 0 + 0 + 565 + 9 + 2 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 111890056592097 and 111890056592106.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 101996404732 + ... + 101996405828.

It is an arithmetic number, because the mean of its divisors is an integer number (258534227952).

Almost surely, 2^{111890056592160} is an apocalyptic number.

111890056592160 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 111890056592160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248192858833920).

111890056592160 is an abundant number, since it is smaller than the sum of its proper divisors (384495661075680).

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

111890056592160 is a wasteful number, since it uses less digits than its factorization.

111890056592160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 111890056592160 in words is "one hundred eleven trillion, eight hundred ninety billion, fifty-six million, five hundred ninety-two thousand, one hundred sixty".