19946728800 has 216 divisors, whose sum is σ = 70594622280. Its totient is φ = 5299660800.

The previous prime is 19946728741. The next prime is 19946728811. The reversal of 19946728800 is 882764991.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2018271 + ... + 2028129.

It is an arithmetic number, because the mean of its divisors is an integer number (326826955).

Almost surely, 2^19946728800 is an apocalyptic number.

19946728800 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 19946728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35297311140).

19946728800 is an abundant number, since it is smaller than the sum of its proper divisors (50647893480).

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

19946728800 is a wasteful number, since it uses less digits than its factorization.

19946728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19946728800 in words is "nineteen billion, nine hundred forty-six million, seven hundred twenty-eight thousand, eight hundred".