18735874560000 has 2080 divisors, whose sum is σ = 77380180416000. Its totient is φ = 4446683136000.

The previous prime is 18735874559953. The next prime is 18735874560017. The reversal of 18735874560000 is 6547853781.

It is a happy number.

18735874560000 is a `hidden beast` number, since 1 + 8 + 7 + 3 + 5 + 8 + 74 + 560 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26058239641 + ... + 26058240359.

Almost surely, 2^{18735874560000} is an apocalyptic number.

18735874560000 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 18735874560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38690090208000).

18735874560000 is an abundant number, since it is smaller than the sum of its proper divisors (58644305856000).

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

18735874560000 is an equidigital number, since it uses as much as digits as its factorization.

18735874560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 18735874560000 in words is "eighteen trillion, seven hundred thirty-five billion, eight hundred seventy-four million, five hundred sixty thousand".