19488160000 has 135 divisors (see below), whose sum is σ = 48749364741. Its totient is φ = 7772928000.

The previous prime is 19488159997. The next prime is 19488160007. The reversal of 19488160000 is 6188491.

It is a happy number.

The square root of 19488160000 is 139600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10528401664 + 8959758336 = 102608^2 + 94656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19488160007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55839826 + ... + 55840174.

Almost surely, 2^19488160000 is an apocalyptic number.

19488160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19488160000 is the 139600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19488160000

19488160000 is an abundant number, since it is smaller than the sum of its proper divisors (29261204741).

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

19488160000 is an frugal number, since it uses more digits than its factorization.

19488160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 19488160000 in words is "nineteen billion, four hundred eighty-eight million, one hundred sixty thousand".