516960536765760 has 672 divisors, whose sum is σ = 1889177141884032. Its totient is φ = 134485464637440.

The previous prime is 516960536765749. The next prime is 516960536765807. The reversal of 516960536765760 is 67567635069615.

516960536765760 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 605 + 3 + 6 + 7 + 6 + 5 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×516960536765760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2745067122 + ... + 2745255438.

It is an arithmetic number, because the mean of its divisors is an integer number (2811275508756).

Almost surely, 2^{516960536765760} 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 516960536765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944588570942016).

516960536765760 is an abundant number, since it is smaller than the sum of its proper divisors (1372216605118272).

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

516960536765760 is a wasteful number, since it uses less digits than its factorization.

516960536765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189213 (or 189191 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 72.

The spelling of 516960536765760 in words is "five hundred sixteen trillion, nine hundred sixty billion, five hundred thirty-six million, seven hundred sixty-five thousand, seven hundred sixty".