18003088800 has 432 divisors, whose sum is σ = 66425748480. Its totient is φ = 4582656000.

The previous prime is 18003088771. The next prime is 18003088823. The reversal of 18003088800 is 888030081.

It is a super-2 number, since 2×18003088800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17632290 + ... + 17633310.

Almost surely, 2^18003088800 is an apocalyptic number.

18003088800 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 18003088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212874240).

18003088800 is an abundant number, since it is smaller than the sum of its proper divisors (48422659680).

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

18003088800 is a wasteful number, since it uses less digits than its factorization.

18003088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 18003088800 in words is "eighteen billion, three million, eighty-eight thousand, eight hundred".