516051642816 has 168 divisors, whose sum is σ = 1535664574080. Its totient is φ = 171825276672.

The previous prime is 516051642811. The next prime is 516051642853. The reversal of 516051642816 is 618246150615.

516051642816 is a `hidden beast` number, since 5 + 1 + 605 + 1 + 6 + 4 + 28 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516051642811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14274235 + ... + 14310341.

It is an arithmetic number, because the mean of its divisors is an integer number (9140860560).

Almost surely, 2^516051642816 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 516051642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767832287040).

516051642816 is an abundant number, since it is smaller than the sum of its proper divisors (1019612931264).

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

516051642816 is an equidigital number, since it uses as much as digits as its factorization.

516051642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37053 (or 37031 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 516051642816 in words is "five hundred sixteen billion, fifty-one million, six hundred forty-two thousand, eight hundred sixteen".