111739944960 has 720 divisors, whose sum is σ = 462596641920. Its totient is φ = 25515786240.

The previous prime is 111739944937. The next prime is 111739944961. The reversal of 111739944960 is 69449937111.

111739944960 is a `hidden beast` number, since 1 + 117 + 39 + 9 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 111739944897 and 111739944906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111739944961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108379645 + ... + 108380675.

It is an arithmetic number, because the mean of its divisors is an integer number (642495336).

Almost surely, 2^111739944960 is an apocalyptic number.

111739944960 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 111739944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231298320960).

111739944960 is an abundant number, since it is smaller than the sum of its proper divisors (350856696960).

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

111739944960 is an equidigital number, since it uses as much as digits as its factorization.

111739944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 111739944960 in words is "one hundred eleven billion, seven hundred thirty-nine million, nine hundred forty-four thousand, nine hundred sixty".