19090081920 has 512 divisors, whose sum is σ = 76942010880. Its totient is φ = 3917611008.

The previous prime is 19090081919. The next prime is 19090081931. The reversal of 19090081920 is 2918009091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6463164 + ... + 6466116.

It is an arithmetic number, because the mean of its divisors is an integer number (150277365).

Almost surely, 2^19090081920 is an apocalyptic number.

19090081920 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 19090081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38471005440).

19090081920 is an abundant number, since it is smaller than the sum of its proper divisors (57851928960).

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

19090081920 is a wasteful number, since it uses less digits than its factorization.

19090081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 19090081920 in words is "nineteen billion, ninety million, eighty-one thousand, nine hundred twenty".