18001993219200 has 768 divisors, whose sum is σ = 69797821046400. Its totient is φ = 4515550986240.

The previous prime is 18001993219151. The next prime is 18001993219261. The reversal of 18001993219200 is 291239910081.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4607623647 + ... + 4607627553.

Almost surely, 2^{18001993219200} is an apocalyptic number.

18001993219200 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 18001993219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34898910523200).

18001993219200 is an abundant number, since it is smaller than the sum of its proper divisors (51795827827200).

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

18001993219200 is a wasteful number, since it uses less digits than its factorization.

18001993219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 18001993219200 in words is "eighteen trillion, one billion, nine hundred ninety-three million, two hundred nineteen thousand, two hundred".