13321820005728 has 288 divisors, whose sum is σ = 38995024422816. Its totient is φ = 3977477996544.

The previous prime is 13321820005693. The next prime is 13321820005817. The reversal of 13321820005728 is 82750002812331.

It is a self number, because there is not a number n which added to its sum of digits gives 13321820005728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223877676 + ... + 223937172.

It is an arithmetic number, because the mean of its divisors is an integer number (135399390357).

Almost surely, 2^{13321820005728} 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 13321820005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19497512211408).

13321820005728 is an abundant number, since it is smaller than the sum of its proper divisors (25673204417088).

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

13321820005728 is a wasteful number, since it uses less digits than its factorization.

13321820005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59946 (or 59925 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13321820005728 in words is "thirteen trillion, three hundred twenty-one billion, eight hundred twenty million, five thousand, seven hundred twenty-eight".