320559912960 has 1152 divisors, whose sum is σ = 1277784668160. Its totient is φ = 68245782528.

The previous prime is 320559912931. The next prime is 320559913013. The reversal of 320559912960 is 69219955023.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1627207582 + ... + 1627207778.

It is an arithmetic number, because the mean of its divisors is an integer number (1109188080).

Almost surely, 2^320559912960 is an apocalyptic number.

320559912960 is a gapful number since it is divisible by the number (30) 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 320559912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638892334080).

320559912960 is an abundant number, since it is smaller than the sum of its proper divisors (957224755200).

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

320559912960 is a wasteful number, since it uses less digits than its factorization.

320559912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 320559912960 in words is "three hundred twenty billion, five hundred fifty-nine million, nine hundred twelve thousand, nine hundred sixty".