111859568640 has 312 divisors, whose sum is σ = 390430567800. Its totient is φ = 29621747712.

The previous prime is 111859568633. The next prime is 111859568651. The reversal of 111859568640 is 46865958111.

111859568640 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 595 + 6 + 8 + 6 + 40 = 666.

111859568640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1656815616 + 110202753024 = 40704^2 + 331968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27461644 + ... + 27465716.

It is an arithmetic number, because the mean of its divisors is an integer number (1251380025).

Almost surely, 2^111859568640 is an apocalyptic number.

111859568640 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 111859568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195215283900).

111859568640 is an abundant number, since it is smaller than the sum of its proper divisors (278570999160).

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

111859568640 is a wasteful number, since it uses less digits than its factorization.

111859568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 111859568640 in words is "one hundred eleven billion, eight hundred fifty-nine million, five hundred sixty-eight thousand, six hundred forty".