111742015680 has 336 divisors, whose sum is σ = 405496166400. Its totient is φ = 28165294080.

The previous prime is 111742015673. The next prime is 111742015741. The reversal of 111742015680 is 86510247111.

111742015680 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 420 + 156 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26865441 + ... + 26869599.

Almost surely, 2^111742015680 is an apocalyptic number.

111742015680 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 111742015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202748083200).

111742015680 is an abundant number, since it is smaller than the sum of its proper divisors (293754150720).

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

111742015680 is a wasteful number, since it uses less digits than its factorization.

111742015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 111742015680 in words is "one hundred eleven billion, seven hundred forty-two million, fifteen thousand, six hundred eighty".