18321811200 has 1728 divisors, whose sum is σ = 89784253440. Its totient is φ = 3583180800.

The previous prime is 18321811153. The next prime is 18321811213. The reversal of 18321811200 is 211812381.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 1077753592 + ... + 1077753608.

It is an arithmetic number, because the mean of its divisors is an integer number (51958480).

Almost surely, 2^18321811200 is an apocalyptic number.

18321811200 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 18321811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44892126720).

18321811200 is an abundant number, since it is smaller than the sum of its proper divisors (71462442240).

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

18321811200 is an equidigital number, since it uses as much as digits as its factorization.

18321811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

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

It can be divided in two parts, 1832181 and 1200, that added together give a palindrome (1833381).

The spelling of 18321811200 in words is "eighteen billion, three hundred twenty-one million, eight hundred eleven thousand, two hundred".