19949872320 has 784 divisors, whose sum is σ = 85818512640. Its totient is φ = 4313253888.

The previous prime is 19949872297. The next prime is 19949872321. The reversal of 19949872320 is 2327894991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19949872321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 31025919 + ... + 31026561.

Almost surely, 2^19949872320 is an apocalyptic number.

19949872320 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 19949872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42909256320).

19949872320 is an abundant number, since it is smaller than the sum of its proper divisors (65868640320).

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

19949872320 is an equidigital number, since it uses as much as digits as its factorization.

19949872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19949872320 in words is "nineteen billion, nine hundred forty-nine million, eight hundred seventy-two thousand, three hundred twenty".