516797626560768 has 1152 divisors, whose sum is σ = 1804723303219200. Its totient is φ = 142821133590528.

The previous prime is 516797626560739. The next prime is 516797626560823. The reversal of 516797626560768 is 867065626797615.

516797626560768 is a `hidden beast` number, since 5 + 167 + 9 + 76 + 265 + 60 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×516797626560768³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131869767513 + ... + 131869771431.

It is an arithmetic number, because the mean of its divisors is an integer number (1566600089600).

Almost surely, 2^{516797626560768} 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 516797626560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902361651609600).

516797626560768 is an abundant number, since it is smaller than the sum of its proper divisors (1287925676658432).

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

516797626560768 is a wasteful number, since it uses less digits than its factorization.

516797626560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 9601804800, while the sum is 81.

The spelling of 516797626560768 in words is "five hundred sixteen trillion, seven hundred ninety-seven billion, six hundred twenty-six million, five hundred sixty thousand, seven hundred sixty-eight".