516534620087880 has 384 divisors, whose sum is σ = 1745956191283200. Its totient is φ = 132278420736000.

The previous prime is 516534620087867. The next prime is 516534620087911. The reversal of 516534620087880 is 88780026435615.

516534620087880 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 346 + 200 + 8 + 7 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20540593467 + ... + 20540618613.

It is an arithmetic number, because the mean of its divisors is an integer number (4546760914800).

Almost surely, 2^{516534620087880} 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 516534620087880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872978095641600).

516534620087880 is an abundant number, since it is smaller than the sum of its proper divisors (1229421571195320).

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

516534620087880 is a wasteful number, since it uses less digits than its factorization.

516534620087880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35685 (or 35678 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 516534620087880 in words is "five hundred sixteen trillion, five hundred thirty-four billion, six hundred twenty million, eighty-seven thousand, eight hundred eighty".