516590585664 has 56 divisors (see below), whose sum is σ = 1367710812960. Its totient is φ = 172083700224.

The previous prime is 516590585657. The next prime is 516590585713. The reversal of 516590585664 is 466585095615.

It is a junction number, because it is equal to n+sod(n) for n = 516590585598 and 516590585607.

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 7 ways as a sum of consecutive naturals, for example, 590899 + ... + 1175730.

Almost surely, 2^516590585664 is an apocalyptic number.

It is an amenable number.

516590585664 is an abundant number, since it is smaller than the sum of its proper divisors (851120227296).

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

516590585664 is a wasteful number, since it uses less digits than its factorization.

516590585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768167 (or 1768157 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 516590585664 in words is "five hundred sixteen billion, five hundred ninety million, five hundred eighty-five thousand, six hundred sixty-four".