520587390960 has 640 divisors, whose sum is σ = 2218191360000. Its totient is φ = 109278056448.

The previous prime is 520587390923. The next prime is 520587390971. The reversal of 520587390960 is 69093785025.

520587390960 is a `hidden beast` number, since 5 + 20 + 587 + 39 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×520587390960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 520587390897 and 520587390906.

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 127 ways as a sum of consecutive naturals, for example, 39108786 + ... + 39122094.

It is an arithmetic number, because the mean of its divisors is an integer number (3465924000).

Almost surely, 2^520587390960 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 520587390960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109095680000).

520587390960 is an abundant number, since it is smaller than the sum of its proper divisors (1697603969040).

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

520587390960 is a wasteful number, since it uses less digits than its factorization.

520587390960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13538 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 520587390960 in words is "five hundred twenty billion, five hundred eighty-seven million, three hundred ninety thousand, nine hundred sixty".