18132004800 has 1008 divisors, whose sum is σ = 80687460672. Its totient is φ = 3760128000.

The previous prime is 18132004763. The next prime is 18132004859. The reversal of 18132004800 is 840023181.

18132004800 is a `hidden beast` number, since 181 + 3 + 2 + 0 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

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, 132350332 + ... + 132350468.

It is an arithmetic number, because the mean of its divisors is an integer number (80047084).

Almost surely, 2^18132004800 is an apocalyptic number.

18132004800 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 18132004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40343730336).

18132004800 is an abundant number, since it is smaller than the sum of its proper divisors (62555455872).

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

18132004800 is a wasteful number, since it uses less digits than its factorization.

18132004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 18132004800 its reverse (840023181), we get a palindrome (18972027981).

The spelling of 18132004800 in words is "eighteen billion, one hundred thirty-two million, four thousand, eight hundred".