18380338560 has 320 divisors, whose sum is σ = 69097921200. Its totient is φ = 4643205120.

The previous prime is 18380338553. The next prime is 18380338607. The reversal of 18380338560 is 6583308381.

18380338560 is a `hidden beast` number, since 1 + 8 + 3 + 80 + 3 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 975630 + ... + 994290.

Almost surely, 2^18380338560 is an apocalyptic number.

18380338560 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 18380338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34548960600).

18380338560 is an abundant number, since it is smaller than the sum of its proper divisors (50717582640).

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

18380338560 is a wasteful number, since it uses less digits than its factorization.

18380338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18711 (or 18690 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 18380338560 in words is "eighteen billion, three hundred eighty million, three hundred thirty-eight thousand, five hundred sixty".