18013132800 has 864 divisors, whose sum is σ = 72454112640. Its totient is φ = 4246732800.

The previous prime is 18013132793. The next prime is 18013132859. The reversal of 18013132800 is 823131081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185702352 + ... + 185702448.

Almost surely, 2^18013132800 is an apocalyptic number.

18013132800 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 18013132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36227056320).

18013132800 is an abundant number, since it is smaller than the sum of its proper divisors (54440979840).

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

18013132800 is a wasteful number, since it uses less digits than its factorization.

18013132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 18013132800 its reverse (823131081), we get a palindrome (18836263881).

The spelling of 18013132800 in words is "eighteen billion, thirteen million, one hundred thirty-two thousand, eight hundred".