520893616320 has 2688 divisors, whose sum is σ = 2521812787200. Its totient is φ = 98683453440.

The previous prime is 520893616301. The next prime is 520893616361. The reversal of 520893616320 is 23616398025.

520893616320 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 9 + 3 + 6 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6593590041 + ... + 6593590119.

It is an arithmetic number, because the mean of its divisors is an integer number (938174400).

Almost surely, 2^520893616320 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 520893616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260906393600).

520893616320 is an abundant number, since it is smaller than the sum of its proper divisors (2000919170880).

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

520893616320 is a wasteful number, since it uses less digits than its factorization.

520893616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 520893616320 in words is "five hundred twenty billion, eight hundred ninety-three million, six hundred sixteen thousand, three hundred twenty".