19720642560 has 336 divisors, whose sum is σ = 65593862208. Its totient is φ = 5058723840.

The previous prime is 19720642537. The next prime is 19720642633. The reversal of 19720642560 is 6524602791.

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 23 ways as a sum of consecutive naturals, for example, 118087597 + ... + 118087763.

It is an arithmetic number, because the mean of its divisors is an integer number (195219828).

Almost surely, 2^19720642560 is an apocalyptic number.

19720642560 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 19720642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32796931104).

19720642560 is an abundant number, since it is smaller than the sum of its proper divisors (45873219648).

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

19720642560 is an equidigital number, since it uses as much as digits as its factorization.

19720642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 19720642560 in words is "nineteen billion, seven hundred twenty million, six hundred forty-two thousand, five hundred sixty".