18901893120000 has 1760 divisors, whose sum is σ = 75473294814720. Its totient is φ = 4152360960000.

The previous prime is 18901893119959. The next prime is 18901893120013. The reversal of 18901893120000 is 2139810981.

It is a tau number, because it is divible by the number of its divisors (1760).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 821821439989 + ... + 821821440011.

It is an arithmetic number, because the mean of its divisors is an integer number (42882553872).

Almost surely, 2^{18901893120000} is an apocalyptic number.

18901893120000 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 18901893120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37736647407360).

18901893120000 is an abundant number, since it is smaller than the sum of its proper divisors (56571401694720).

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

18901893120000 is an frugal number, since it uses more digits than its factorization.

18901893120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The spelling of 18901893120000 in words is "eighteen trillion, nine hundred one billion, eight hundred ninety-three million, one hundred twenty thousand".