18685321574400 has 5760 divisors, whose sum is σ = 88254398232000. Its totient is φ = 3852635996160.

The previous prime is 18685321574357. The next prime is 18685321574407. The reversal of 18685321574400 is 447512358681.

It is a happy number.

18685321574400 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 5 + 3 + 21 + 574 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18685321574407) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 505008691182 + ... + 505008691218.

Almost surely, 2^{18685321574400} is an apocalyptic number.

18685321574400 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 18685321574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44127199116000).

18685321574400 is an abundant number, since it is smaller than the sum of its proper divisors (69569076657600).

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

18685321574400 is a wasteful number, since it uses less digits than its factorization.

18685321574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 18685321574400 in words is "eighteen trillion, six hundred eighty-five billion, three hundred twenty-one million, five hundred seventy-four thousand, four hundred".