19744320000 has 400 divisors, whose sum is σ = 66652689312. Its totient is φ = 5191680000.

The previous prime is 19744319993. The next prime is 19744320023. The reversal of 19744320000 is 2344791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 19744320000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125759922 + ... + 125760078.

Almost surely, 2^19744320000 is an apocalyptic number.

19744320000 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 19744320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326344656).

19744320000 is an abundant number, since it is smaller than the sum of its proper divisors (46908369312).

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

19744320000 is an equidigital number, since it uses as much as digits as its factorization.

19744320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 19744320000 its reverse (2344791), we get a palindrome (19746664791).

The spelling of 19744320000 in words is "nineteen billion, seven hundred forty-four million, three hundred twenty thousand".