19984960209744 has 220 divisors, whose sum is σ = 58121520404256. Its totient is φ = 6657002231616.

The previous prime is 19984960209653. The next prime is 19984960209757. The reversal of 19984960209744 is 44790206948991.

19984960209744 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 4 + 9 + 602 + 0 + 9 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 1518261307 + ... + 1518274469.

Almost surely, 2^{19984960209744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19984960209744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060760202128).

19984960209744 is an abundant number, since it is smaller than the sum of its proper divisors (38136560194512).

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

19984960209744 is an equidigital number, since it uses as much as digits as its factorization.

19984960209744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14775 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 19984960209744 in words is "nineteen trillion, nine hundred eighty-four billion, nine hundred sixty million, two hundred nine thousand, seven hundred forty-four".