18021147019200 has 1344 divisors, whose sum is σ = 74813451632640. Its totient is φ = 4188008448000.

The previous prime is 18021147019151. The next prime is 18021147019237. The reversal of 18021147019200 is 291074112081.

18021147019200 is a `hidden beast` number, since 1 + 80 + 21 + 1 + 470 + 1 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 713780977 + ... + 713806223.

It is an arithmetic number, because the mean of its divisors is an integer number (55664770560).

Almost surely, 2^{18021147019200} is an apocalyptic number.

18021147019200 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 18021147019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37406725816320).

18021147019200 is an abundant number, since it is smaller than the sum of its proper divisors (56792304613440).

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

18021147019200 is a wasteful number, since it uses less digits than its factorization.

18021147019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25363 (or 25342 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 18021147019200 in words is "eighteen trillion, twenty-one billion, one hundred forty-seven million, nineteen thousand, two hundred".