8513384446320 has 1280 divisors, whose sum is σ = 31286317547520. Its totient is φ = 1897758720000.

The previous prime is 8513384446291. The next prime is 8513384446339. The reversal of 8513384446320 is 236444833158.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 33917866195 + ... + 33917866445.

It is an arithmetic number, because the mean of its divisors is an integer number (24442435584).

Almost surely, 2^{8513384446320} is an apocalyptic number.

8513384446320 is a gapful number since it is divisible by the number (80) 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 8513384446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15643158773760).

8513384446320 is an abundant number, since it is smaller than the sum of its proper divisors (22772933101200).

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

8513384446320 is a wasteful number, since it uses less digits than its factorization.

8513384446320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 8513384446320 in words is "eight trillion, five hundred thirteen billion, three hundred eighty-four million, four hundred forty-six thousand, three hundred twenty".