18019438891200 has 1344 divisors, whose sum is σ = 71745328005120. Its totient is φ = 4381593108480.

The previous prime is 18019438891171. The next prime is 18019438891211. The reversal of 18019438891200 is 219883491081.

It is a happy number.

18019438891200 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 9 + 438 + 89 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4010556154 + ... + 4010560646.

It is an arithmetic number, because the mean of its divisors is an integer number (53381940480).

Almost surely, 2^{18019438891200} is an apocalyptic number.

18019438891200 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 18019438891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872664002560).

18019438891200 is an abundant number, since it is smaller than the sum of its proper divisors (53725889113920).

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

18019438891200 is a wasteful number, since it uses less digits than its factorization.

18019438891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 18019438891200 in words is "eighteen trillion, nineteen billion, four hundred thirty-eight million, eight hundred ninety-one thousand, two hundred".