18001612800 has 624 divisors, whose sum is σ = 70204078080. Its totient is φ = 4506255360.

The previous prime is 18001612787. The next prime is 18001612819. The reversal of 18001612800 is 821610081.

It is a super-2 number, since 2×18001612800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47001409 + ... + 47001791.

Almost surely, 2^18001612800 is an apocalyptic number.

18001612800 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 18001612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35102039040).

18001612800 is an abundant number, since it is smaller than the sum of its proper divisors (52202465280).

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

18001612800 is a wasteful number, since it uses less digits than its factorization.

18001612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 18001612800 in words is "eighteen billion, one million, six hundred twelve thousand, eight hundred".