18982400000 has 156 divisors (see below), whose sum is σ = 47479164264. Its totient is φ = 7587840000.

The previous prime is 18982399979. The next prime is 18982400077. The reversal of 18982400000 is 428981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 18982400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12799259 + ... + 12800741.

Almost surely, 2^18982400000 is an apocalyptic number.

18982400000 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 18982400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739582132).

18982400000 is an abundant number, since it is smaller than the sum of its proper divisors (28496764264).

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

18982400000 is an frugal number, since it uses more digits than its factorization.

18982400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

Adding to 18982400000 its reverse (428981), we get a palindrome (18982828981).

The spelling of 18982400000 in words is "eighteen billion, nine hundred eighty-two million, four hundred thousand".