19944100800 has 672 divisors, whose sum is σ = 82941566400. Its totient is φ = 4618321920.

The previous prime is 19944100763. The next prime is 19944100831. The reversal of 19944100800 is 800144991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9546156 + ... + 9548244.

It is an arithmetic number, because the mean of its divisors is an integer number (123424950).

Almost surely, 2^19944100800 is an apocalyptic number.

19944100800 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 19944100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41470783200).

19944100800 is an abundant number, since it is smaller than the sum of its proper divisors (62997465600).

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

19944100800 is a wasteful number, since it uses less digits than its factorization.

19944100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19944100800 in words is "nineteen billion, nine hundred forty-four million, one hundred thousand, eight hundred".