19728801513408 has 224 divisors, whose sum is σ = 56978184678912. Its totient is φ = 5988148531200.

The previous prime is 19728801513401. The next prime is 19728801513419. The reversal of 19728801513408 is 80431510882791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19728801513401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136866013 + ... + 137010083.

It is an arithmetic number, because the mean of its divisors is an integer number (254366895888).

Almost surely, 2^{19728801513408} 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 19728801513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28489092339456).

19728801513408 is an abundant number, since it is smaller than the sum of its proper divisors (37249383165504).

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

19728801513408 is a wasteful number, since it uses less digits than its factorization.

19728801513408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144843 (or 144833 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 19728801513408 in words is "nineteen trillion, seven hundred twenty-eight billion, eight hundred one million, five hundred thirteen thousand, four hundred eight".