111795907403160 has 256 divisors, whose sum is σ = 372973256035200. Its totient is φ = 29786635008000.

The previous prime is 111795907402979. The next prime is 111795907403203. The reversal of 111795907403160 is 61304709597111.

111795907403160 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 9 + 590 + 7 + 40 + 3 + 1 + 6 + 0 = 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 = 111795907403097 and 111795907403106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7795537590 + ... + 7795551930.

Almost surely, 2^{111795907403160} is an apocalyptic number.

111795907403160 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 111795907403160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186486628017600).

111795907403160 is an abundant number, since it is smaller than the sum of its proper divisors (261177348632040).

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

111795907403160 is a wasteful number, since it uses less digits than its factorization.

111795907403160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20059 (or 20049 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 111795907403160 in words is "one hundred eleven trillion, seven hundred ninety-five billion, nine hundred seven million, four hundred three thousand, one hundred sixty".