19821189696 has 448 divisors, whose sum is σ = 68696555520. Its totient is φ = 4893696000.

The previous prime is 19821189679. The next prime is 19821189701. The reversal of 19821189696 is 69698112891.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 27956190 + ... + 27956898.

Almost surely, 2^19821189696 is an apocalyptic number.

19821189696 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 19821189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34348277760).

19821189696 is an abundant number, since it is smaller than the sum of its proper divisors (48875365824).

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

19821189696 is a wasteful number, since it uses less digits than its factorization.

19821189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 60.

The spelling of 19821189696 in words is "nineteen billion, eight hundred twenty-one million, one hundred eighty-nine thousand, six hundred ninety-six".