18982693388400 has 480 divisors, whose sum is σ = 70227296832000. Its totient is φ = 4293355622400.

The previous prime is 18982693388371. The next prime is 18982693388443. The reversal of 18982693388400 is 488339628981.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384014886 + ... + 384064314.

It is an arithmetic number, because the mean of its divisors is an integer number (146306868400).

Almost surely, 2^{18982693388400} is an apocalyptic number.

18982693388400 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 18982693388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35113648416000).

18982693388400 is an abundant number, since it is smaller than the sum of its proper divisors (51244603443600).

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

18982693388400 is a wasteful number, since it uses less digits than its factorization.

18982693388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49937 (or 49926 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 18982693388400 in words is "eighteen trillion, nine hundred eighty-two billion, six hundred ninety-three million, three hundred eighty-eight thousand, four hundred".