18402625964800 has 1296 divisors, whose sum is σ = 58823412810624. Its totient is φ = 5635768320000.

The previous prime is 18402625964707. The next prime is 18402625964813. The reversal of 18402625964800 is 846952620481.

It is a super-2 number, since 2×18402625964800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87216236695 + ... + 87216236905.

Almost surely, 2^{18402625964800} is an apocalyptic number.

18402625964800 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 18402625964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29411706405312).

18402625964800 is an abundant number, since it is smaller than the sum of its proper divisors (40420786845824).

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

18402625964800 is a wasteful number, since it uses less digits than its factorization.

18402625964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 55.

The spelling of 18402625964800 in words is "eighteen trillion, four hundred two billion, six hundred twenty-five million, nine hundred sixty-four thousand, eight hundred".