19821764282896 has 135 divisors (see below), whose sum is σ = 41118827469013. Its totient is φ = 9254802350080.

The previous prime is 19821764282863. The next prime is 19821764282909. The reversal of 19821764282896 is 69828246712891.

The square root of 19821764282896 is 4452164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 6846783956496 + 12974980326400 = 2616636^2 + 3602080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70540086276 + ... + 70540086556.

Almost surely, 2^{19821764282896} is an apocalyptic number.

19821764282896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19821764282896 is the 4452164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19821764282896

19821764282896 is an abundant number, since it is smaller than the sum of its proper divisors (21297063186117).

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

19821764282896 is an frugal number, since it uses more digits than its factorization.

19821764282896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 533 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 73.

The spelling of 19821764282896 in words is "nineteen trillion, eight hundred twenty-one billion, seven hundred sixty-four million, two hundred eighty-two thousand, eight hundred ninety-six".