19090890000 has 1500 divisors, whose sum is σ = 88835098044. Its totient is φ = 3919104000.

The previous prime is 19090889989. The next prime is 19090890011. The reversal of 19090890000 is 9809091.

It is an interprime number because it is at equal distance from previous prime (19090889989) and next prime (19090890011).

It can be written as a sum of positive squares in 10 ways, for example, as 14147675136 + 4943214864 = 118944^2 + 70308^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 515969982 + ... + 515970018.

Almost surely, 2^19090890000 is an apocalyptic number.

19090890000 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 19090890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44417549022).

19090890000 is an abundant number, since it is smaller than the sum of its proper divisors (69744208044).

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

19090890000 is a wasteful number, since it uses less digits than its factorization.

19090890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 19090890000 in words is "nineteen billion, ninety million, eight hundred ninety thousand".