110913960960 has 880 divisors, whose sum is σ = 444909259872. Its totient is φ = 26188185600.

The previous prime is 110913960959. The next prime is 110913960973. The reversal of 110913960960 is 69069319011.

110913960960 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 1 + 39 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 187038424 + ... + 187039016.

Almost surely, 2^110913960960 is an apocalyptic number.

110913960960 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 110913960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222454629936).

110913960960 is an abundant number, since it is smaller than the sum of its proper divisors (333995298912).

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

110913960960 is a wasteful number, since it uses less digits than its factorization.

110913960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 110913960960 in words is "one hundred ten billion, nine hundred thirteen million, nine hundred sixty thousand, nine hundred sixty".