516085941616 has 80 divisors (see below), whose sum is σ = 1160566718976. Its totient is φ = 217737831168.

The previous prime is 516085941589. The next prime is 516085941617. The reversal of 516085941616 is 616149580615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516085941617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12037530 + ... + 12080326.

Almost surely, 2^516085941616 is an apocalyptic number.

516085941616 is a gapful number since it is divisible by the number (56) 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 516085941616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580283359488).

516085941616 is an abundant number, since it is smaller than the sum of its proper divisors (644480777360).

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

516085941616 is a wasteful number, since it uses less digits than its factorization.

516085941616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44486 (or 44480 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 516085941616 in words is "five hundred sixteen billion, eighty-five million, nine hundred forty-one thousand, six hundred sixteen".