520485557760 has 960 divisors, whose sum is σ = 2163011558400. Its totient is φ = 118286106624.

The previous prime is 520485557729. The next prime is 520485557791. The reversal of 520485557760 is 67755584025.

520485557760 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 8 + 5 + 5 + 577 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (520485557729) and next prime (520485557791).

It is a tau number, because it is divible by the number of its divisors (960).

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 = 520485557697 and 520485557706.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 809463999 + ... + 809464641.

It is an arithmetic number, because the mean of its divisors is an integer number (2253137040).

Almost surely, 2^520485557760 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 520485557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081505779200).

520485557760 is an abundant number, since it is smaller than the sum of its proper divisors (1642526000640).

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

520485557760 is a wasteful number, since it uses less digits than its factorization.

520485557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 520485557760 in words is "five hundred twenty billion, four hundred eighty-five million, five hundred fifty-seven thousand, seven hundred sixty".