19080400000 has 96 divisors (see below), whose sum is σ = 47512623060. Its totient is φ = 7632000000.

The previous prime is 19080399997. The next prime is 19080400021. The reversal of 19080400000 is 408091.

It can be written as a sum of positive squares in 6 ways, for example, as 2714826816 + 16365573184 = 52104^2 + 127928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376150 + ... + 423850.

Almost surely, 2^19080400000 is an apocalyptic number.

19080400000 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 19080400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23756311530).

19080400000 is an abundant number, since it is smaller than the sum of its proper divisors (28432223060).

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

19080400000 is an frugal number, since it uses more digits than its factorization.

19080400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47740 (or 47708 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 19080400000 its reverse (408091), we get a palindrome (19080808091).

The spelling of 19080400000 in words is "nineteen billion, eighty million, four hundred thousand".