516500600000 has 504 divisors, whose sum is σ = 1609820402400. Its totient is φ = 160934400000.

The previous prime is 516500599997. The next prime is 516500600017. The reversal of 516500600000 is 6005615.

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 71 ways as a sum of consecutive naturals, for example, 169398476 + ... + 169401524.

It is an arithmetic number, because the mean of its divisors is an integer number (3194088100).

Almost surely, 2^516500600000 is an apocalyptic number.

516500600000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516500600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804910201200).

516500600000 is an abundant number, since it is smaller than the sum of its proper divisors (1093319802400).

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

516500600000 is an equidigital number, since it uses as much as digits as its factorization.

516500600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 516500600000 its reverse (6005615), we get a palindrome (516506605615).

The spelling of 516500600000 in words is "five hundred sixteen billion, five hundred million, six hundred thousand".