19997828569584 has 400 divisors, whose sum is σ = 64027750314880. Its totient is φ = 6001519910400.

The previous prime is 19997828569583. The next prime is 19997828569597. The reversal of 19997828569584 is 48596582879991.

19997828569584 is a `hidden beast` number, since 19 + 9 + 9 + 7 + 8 + 2 + 8 + 5 + 6 + 9 + 584 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19997828569494 and 19997828569503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19997828569583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38921559 + ... + 39432009.

Almost surely, 2^{19997828569584} 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 19997828569584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32013875157440).

19997828569584 is an abundant number, since it is smaller than the sum of its proper divisors (44029921745296).

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

19997828569584 is a wasteful number, since it uses less digits than its factorization.

19997828569584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510570 (or 510555 counting only the distinct ones).

The product of its digits is 28217548800, while the sum is 90.

The spelling of 19997828569584 in words is "nineteen trillion, nine hundred ninety-seven billion, eight hundred twenty-eight million, five hundred sixty-nine thousand, five hundred eighty-four".