19982635680 has 192 divisors, whose sum is σ = 72077015808. Its totient is φ = 4558602240.

The previous prime is 19982635591. The next prime is 19982635693. The reversal of 19982635680 is 8653628991.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19982635680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1812264 + ... + 1823256.

It is an arithmetic number, because the mean of its divisors is an integer number (375401124).

Almost surely, 2^19982635680 is an apocalyptic number.

19982635680 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 19982635680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36038507904).

19982635680 is an abundant number, since it is smaller than the sum of its proper divisors (52094380128).

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

19982635680 is a wasteful number, since it uses less digits than its factorization.

19982635680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 19982635680 in words is "nineteen billion, nine hundred eighty-two million, six hundred thirty-five thousand, six hundred eighty".