516865420799 has 72 divisors (see below), whose sum is σ = 654368981472. Its totient is φ = 399733401600.

The previous prime is 516865420787. The next prime is 516865420817. The reversal of 516865420799 is 997024568615.

It is a de Polignac number, because none of the positive numbers 2^k-516865420799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516865429799) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1288940999 + ... + 1288941399.

It is an arithmetic number, because the mean of its divisors is an integer number (9088458076).

Almost surely, 2^516865420799 is an apocalyptic number.

516865420799 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

516865420799 is a deficient number, since it is larger than the sum of its proper divisors (137503560673).

516865420799 is a wasteful number, since it uses less digits than its factorization.

516865420799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 516865420799 in words is "five hundred sixteen billion, eight hundred sixty-five million, four hundred twenty thousand, seven hundred ninety-nine".