18001890000 has 300 divisors, whose sum is σ = 63452188800. Its totient is φ = 4762656000.

The previous prime is 18001889989. The next prime is 18001890017. The reversal of 18001890000 is 9810081.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12509281 + ... + 12510719.

It is an arithmetic number, because the mean of its divisors is an integer number (211507296).

Almost surely, 2^18001890000 is an apocalyptic number.

18001890000 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 18001890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726094400).

18001890000 is an abundant number, since it is smaller than the sum of its proper divisors (45450298800).

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

18001890000 is a wasteful number, since it uses less digits than its factorization.

18001890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 18001890000 in words is "eighteen billion, one million, eight hundred ninety thousand".