111264681680 has 80 divisors (see below), whose sum is σ = 268737037824. Its totient is φ = 42795717120.

The previous prime is 111264681659. The next prime is 111264681751. The reversal of 111264681680 is 86186462111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246479 + ... + 532241.

Almost surely, 2^111264681680 is an apocalyptic number.

111264681680 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 111264681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134368518912).

111264681680 is an abundant number, since it is smaller than the sum of its proper divisors (157472356144).

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

111264681680 is a wasteful number, since it uses less digits than its factorization.

111264681680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285964 (or 285958 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 111264681680 in words is "one hundred eleven billion, two hundred sixty-four million, six hundred eighty-one thousand, six hundred eighty".