19389984768 has 936 divisors, whose sum is σ = 76136196864. Its totient is φ = 4817387520.

The previous prime is 19389984707. The next prime is 19389984799. The reversal of 19389984768 is 86748998391.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 19389984696 and 19389984705.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 843042805 + ... + 843042827.

Almost surely, 2^19389984768 is an apocalyptic number.

19389984768 is a gapful number since it is divisible by the number (18) 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 19389984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068098432).

19389984768 is an abundant number, since it is smaller than the sum of its proper divisors (56746212096).

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

19389984768 is an equidigital number, since it uses as much as digits as its factorization.

19389984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 46 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 19389984768 in words is "nineteen billion, three hundred eighty-nine million, nine hundred eighty-four thousand, seven hundred sixty-eight".