111090860160 has 768 divisors, whose sum is σ = 442083536640. Its totient is φ = 23222550528.

The previous prime is 111090860149. The next prime is 111090860171. The reversal of 111090860160 is 61068090111.

It is an interprime number because it is at equal distance from previous prime (111090860149) and next prime (111090860171).

It is a super-2 number, since 2×111090860160² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143713534 + ... + 143714306.

It is an arithmetic number, because the mean of its divisors is an integer number (575629605).

Almost surely, 2^111090860160 is an apocalyptic number.

111090860160 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 111090860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221041768320).

111090860160 is an abundant number, since it is smaller than the sum of its proper divisors (330992676480).

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

111090860160 is a wasteful number, since it uses less digits than its factorization.

111090860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

It can be divided in two parts, 111090 and 860160, that multiplied together give a square (95555174400 = 309120²).

The spelling of 111090860160 in words is "one hundred eleven billion, ninety million, eight hundred sixty thousand, one hundred sixty".