19819806720 has 480 divisors, whose sum is σ = 74513730816. Its totient is φ = 4404019200.

The previous prime is 19819806689. The next prime is 19819806731. The reversal of 19819806720 is 2760891891.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70532980 + ... + 70533260.

Almost surely, 2^19819806720 is an apocalyptic number.

19819806720 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 19819806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37256865408).

19819806720 is an abundant number, since it is smaller than the sum of its proper divisors (54693924096).

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

19819806720 is an equidigital number, since it uses as much as digits as its factorization.

19819806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The spelling of 19819806720 in words is "nineteen billion, eight hundred nineteen million, eight hundred six thousand, seven hundred twenty".