520013716320 has 384 divisors, whose sum is σ = 1917922406400. Its totient is φ = 115954513920.

The previous prime is 520013716307. The next prime is 520013716349. The reversal of 520013716320 is 23617310025.

520013716320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157626031 + ... + 157629329.

It is an arithmetic number, because the mean of its divisors is an integer number (4994589600).

Almost surely, 2^520013716320 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 520013716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958961203200).

520013716320 is an abundant number, since it is smaller than the sum of its proper divisors (1397908690080).

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

520013716320 is a wasteful number, since it uses less digits than its factorization.

520013716320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 520013716320 in words is "five hundred twenty billion, thirteen million, seven hundred sixteen thousand, three hundred twenty".