18560868338880 has 2016 divisors, whose sum is σ = 82373588668800. Its totient is φ = 3749780127744.

The previous prime is 18560868338861. The next prime is 18560868338893. The reversal of 18560868338880 is 8883386806581.

18560868338880 is a `hidden beast` number, since 1 + 8 + 5 + 608 + 6 + 8 + 3 + 3 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18560868338799 and 18560868338808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6251554036 + ... + 6251557004.

Almost surely, 2^{18560868338880} is an apocalyptic number.

18560868338880 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 18560868338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41186794334400).

18560868338880 is an abundant number, since it is smaller than the sum of its proper divisors (63812720329920).

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

18560868338880 is a wasteful number, since it uses less digits than its factorization.

18560868338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 18560868338880 in words is "eighteen trillion, five hundred sixty billion, eight hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred eighty".