111504919680 has 1024 divisors, whose sum is σ = 496148889600. Its totient is φ = 22992076800.

The previous prime is 111504919679. The next prime is 111504919693. The reversal of 111504919680 is 86919405111.

111504919680 is a `hidden beast` number, since 1 + 1 + 150 + 491 + 9 + 6 + 8 + 0 = 666.

111504919680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111504919680² (a number of 23 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 127 ways as a sum of consecutive naturals, for example, 240831129 + ... + 240831591.

It is an arithmetic number, because the mean of its divisors is an integer number (484520400).

Almost surely, 2^111504919680 is an apocalyptic number.

111504919680 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 111504919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248074444800).

111504919680 is an abundant number, since it is smaller than the sum of its proper divisors (384643969920).

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

111504919680 is a wasteful number, since it uses less digits than its factorization.

111504919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 45.

The spelling of 111504919680 in words is "one hundred eleven billion, five hundred four million, nine hundred nineteen thousand, six hundred eighty".