516766738110016 has 189 divisors, whose sum is σ = 1072335561728067. Its totient is φ = 247082313876480.

The previous prime is 516766738109987. The next prime is 516766738110017. The reversal of 516766738110016 is 610011837667615.

The square root of 516766738110016 is 22732504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11384685774400 + 505382052335616 = 3374120^2 + 22480704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516766738110017) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 410458091595 + ... + 410458092853.

Almost surely, 2^{516766738110016} is an apocalyptic number.

516766738110016 is the 22732504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516766738110016

516766738110016 is an abundant number, since it is smaller than the sum of its proper divisors (555568823618051).

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

516766738110016 is an frugal number, since it uses more digits than its factorization.

516766738110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 516766738110016 in words is "five hundred sixteen trillion, seven hundred sixty-six billion, seven hundred thirty-eight million, one hundred ten thousand, sixteen".