111880427040 has 576 divisors, whose sum is σ = 415979141760. Its totient is φ = 28356894720.

The previous prime is 111880427027. The next prime is 111880427041. The reversal of 111880427040 is 40724088111.

111880427040 is a `hidden beast` number, since 1 + 118 + 80 + 427 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 111880426986 and 111880427004.

It is not an unprimeable number, because it can be changed into a prime (111880427041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75543100 + ... + 75544580.

It is an arithmetic number, because the mean of its divisors is an integer number (722186010).

Almost surely, 2^111880427040 is an apocalyptic number.

111880427040 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 111880427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207989570880).

111880427040 is an abundant number, since it is smaller than the sum of its proper divisors (304098714720).

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

111880427040 is a wasteful number, since it uses less digits than its factorization.

111880427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 111880427040 in words is "one hundred eleven billion, eight hundred eighty million, four hundred twenty-seven thousand, forty".