9000019090000 has 400 divisors, whose sum is σ = 22362503708160. Its totient is φ = 3507102720000.

The previous prime is 9000019089991. The next prime is 9000019090079. The reversal of 9000019090000 is 909100009.

9000019090000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

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, 27190389835 + ... + 27190390165.

Almost surely, 2^{9000019090000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000019090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11181251854080).

9000019090000 is an abundant number, since it is smaller than the sum of its proper divisors (13362484618160).

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

9000019090000 is a wasteful number, since it uses less digits than its factorization.

9000019090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 9000019090000 in words is "nine trillion, nineteen million, ninety thousand".