516976635708 has 192 divisors, whose sum is σ = 1500708966400. Its totient is φ = 152829192960.

The previous prime is 516976635697. The next prime is 516976635709. The reversal of 516976635708 is 807536679615.

516976635708 is a `hidden beast` number, since 51 + 6 + 9 + 7 + 6 + 6 + 3 + 570 + 8 = 666.

It is a super-2 number, since 2×516976635708² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516976635709) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6007110 + ... + 6092562.

Almost surely, 2^516976635708 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 516976635708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750354483200).

516976635708 is an abundant number, since it is smaller than the sum of its proper divisors (983732330692).

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

516976635708 is a wasteful number, since it uses less digits than its factorization.

516976635708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85649 (or 85641 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 516976635708 in words is "five hundred sixteen billion, nine hundred seventy-six million, six hundred thirty-five thousand, seven hundred eight".