19828981536 has 768 divisors, whose sum is σ = 71693475840. Its totient is φ = 4655185920.

The previous prime is 19828981511. The next prime is 19828981561. The reversal of 19828981536 is 63518982891.

It is an interprime number because it is at equal distance from previous prime (19828981511) and next prime (19828981561).

It is a self number, because there is not a number n which added to its sum of digits gives 19828981536.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238903351 + ... + 238903433.

It is an arithmetic number, because the mean of its divisors is an integer number (93350880).

Almost surely, 2^19828981536 is an apocalyptic number.

19828981536 is a gapful number since it is divisible by the number (16) 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 19828981536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35846737920).

19828981536 is an abundant number, since it is smaller than the sum of its proper divisors (51864494304).

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

19828981536 is a wasteful number, since it uses less digits than its factorization.

19828981536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 60.

The spelling of 19828981536 in words is "nineteen billion, eight hundred twenty-eight million, nine hundred eighty-one thousand, five hundred thirty-six".