19828509568 has 256 divisors, whose sum is σ = 48074803200. Its totient is φ = 7970586624.

The previous prime is 19828509557. The next prime is 19828509581. The reversal of 19828509568 is 86590582891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175473480 + ... + 175473592.

It is an arithmetic number, because the mean of its divisors is an integer number (187792200).

Almost surely, 2^19828509568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19828509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037401600).

19828509568 is an abundant number, since it is smaller than the sum of its proper divisors (28246293632).

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

19828509568 is a wasteful number, since it uses less digits than its factorization.

19828509568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 61.

The spelling of 19828509568 in words is "nineteen billion, eight hundred twenty-eight million, five hundred nine thousand, five hundred sixty-eight".