516061273280064 has 448 divisors, whose sum is σ = 1451645694664704. Its totient is φ = 161533532160000.

The previous prime is 516061273280009. The next prime is 516061273280081. The reversal of 516061273280064 is 460082372160615.

It is a junction number, because it is equal to n+sod(n) for n = 516061273279989 and 516061273280016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116729532574 + ... + 116729536994.

It is an arithmetic number, because the mean of its divisors is an integer number (3240280568448).

Almost surely, 2^{516061273280064} 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 516061273280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725822847332352).

516061273280064 is an abundant number, since it is smaller than the sum of its proper divisors (935584421384640).

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

516061273280064 is a wasteful number, since it uses less digits than its factorization.

516061273280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 516061273280064 in words is "five hundred sixteen trillion, sixty-one billion, two hundred seventy-three million, two hundred eighty thousand, sixty-four".