516859460580 has 288 divisors, whose sum is σ = 1574276860800. Its totient is φ = 126539055104.

The previous prime is 516859460573. The next prime is 516859460599. The reversal of 516859460580 is 85064958615.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 516859460580.

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 95 ways as a sum of consecutive naturals, for example, 164760772 + ... + 164763908.

It is an arithmetic number, because the mean of its divisors is an integer number (5466239100).

Almost surely, 2^516859460580 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 516859460580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787138430400).

516859460580 is an abundant number, since it is smaller than the sum of its proper divisors (1057417400220).

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

516859460580 is a wasteful number, since it uses less digits than its factorization.

516859460580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 516859460580 in words is "five hundred sixteen billion, eight hundred fifty-nine million, four hundred sixty thousand, five hundred eighty".