111935960640 has 840 divisors, whose sum is σ = 478293818112. Its totient is φ = 24751319040.

The previous prime is 111935960639. The next prime is 111935960681. The reversal of 111935960640 is 46069539111.

111935960640 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 35 + 9 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 39371059 + ... + 39373901.

Almost surely, 2^111935960640 is an apocalyptic number.

111935960640 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 111935960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239146909056).

111935960640 is an abundant number, since it is smaller than the sum of its proper divisors (366357857472).

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

111935960640 is a wasteful number, since it uses less digits than its factorization.

111935960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 111935960640 in words is "one hundred eleven billion, nine hundred thirty-five million, nine hundred sixty thousand, six hundred forty".