111557571160560 has 640 divisors, whose sum is σ = 422222118912000. Its totient is φ = 23815723438080.

The previous prime is 111557571160543. The next prime is 111557571160579. The reversal of 111557571160560 is 65061175755111.

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 127 ways as a sum of consecutive naturals, for example, 4076339997 + ... + 4076367363.

It is an arithmetic number, because the mean of its divisors is an integer number (659722060800).

Almost surely, 2^{111557571160560} is an apocalyptic number.

111557571160560 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 111557571160560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211111059456000).

111557571160560 is an abundant number, since it is smaller than the sum of its proper divisors (310664547751440).

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

111557571160560 is a wasteful number, since it uses less digits than its factorization.

111557571160560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30149 (or 30143 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 51.

The spelling of 111557571160560 in words is "one hundred eleven trillion, five hundred fifty-seven billion, five hundred seventy-one million, one hundred sixty thousand, five hundred sixty".