516727127130336 has 192 divisors, whose sum is σ = 1597011086684160. Its totient is φ = 161984895621120.

The previous prime is 516727127130301. The next prime is 516727127130367. The reversal of 516727127130336 is 633031721727615.

516727127130336 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 2 + 7 + 1 + 271 + 30 + 336 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337025 + ... + 32587391.

It is an arithmetic number, because the mean of its divisors is an integer number (8317766076480).

Almost surely, 2^{516727127130336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516727127130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798505543342080).

516727127130336 is an abundant number, since it is smaller than the sum of its proper divisors (1080283959553824).

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

516727127130336 is a wasteful number, since it uses less digits than its factorization.

516727127130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27251694 (or 27251680 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 516727127130336 in words is "five hundred sixteen trillion, seven hundred twenty-seven billion, one hundred twenty-seven million, one hundred thirty thousand, three hundred thirty-six".