111001921560 has 128 divisors (see below), whose sum is σ = 370761753600. Its totient is φ = 29540085120.

The previous prime is 111001921553. The next prime is 111001921561. The reversal of 111001921560 is 65129100111.

111001921560 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 1 + 92 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001921561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425617 + ... + 634943.

It is an arithmetic number, because the mean of its divisors is an integer number (2896576200).

Almost surely, 2^111001921560 is an apocalyptic number.

111001921560 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 111001921560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185380876800).

111001921560 is an abundant number, since it is smaller than the sum of its proper divisors (259759832040).

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

111001921560 is a wasteful number, since it uses less digits than its factorization.

111001921560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209838 (or 209828 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 27.

The spelling of 111001921560 in words is "one hundred eleven billion, one million, nine hundred twenty-one thousand, five hundred sixty".