520971859968 has 192 divisors, whose sum is σ = 1597868213760. Its totient is φ = 147861504000.

The previous prime is 520971859921. The next prime is 520971859979. The reversal of 520971859968 is 869958179025.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×520971859968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6454098 + ... + 6534318.

It is an arithmetic number, because the mean of its divisors is an integer number (8322230280).

Almost surely, 2^520971859968 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 520971859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798934106880).

520971859968 is an abundant number, since it is smaller than the sum of its proper divisors (1076896353792).

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

520971859968 is a wasteful number, since it uses less digits than its factorization.

520971859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80404 (or 80384 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 69.

The spelling of 520971859968 in words is "five hundred twenty billion, nine hundred seventy-one million, eight hundred fifty-nine thousand, nine hundred sixty-eight".