111171115560960 has 3744 divisors, whose sum is σ = 516670536066048. Its totient is φ = 22408734965760.

The previous prime is 111171115560959. The next prime is 111171115560971. The reversal of 111171115560960 is 69065511171111.

111171115560960 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 7 + 1 + 1 + 1 + 556 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×111171115560960² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 135409397350 + ... + 135409398170.

It is an arithmetic number, because the mean of its divisors is an integer number (137999608992).

Almost surely, 2^{111171115560960} is an apocalyptic number.

111171115560960 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 111171115560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258335268033024).

111171115560960 is an abundant number, since it is smaller than the sum of its proper divisors (405499420505088).

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

111171115560960 is an equidigital number, since it uses as much as digits as its factorization.

111171115560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 45.

The spelling of 111171115560960 in words is "one hundred eleven trillion, one hundred seventy-one billion, one hundred fifteen million, five hundred sixty thousand, nine hundred sixty".