516663255049788 has 192 divisors, whose sum is σ = 1519382096483328. Its totient is φ = 132745255802880.

The previous prime is 516663255049771. The next prime is 516663255049789. The reversal of 516663255049788 is 887940552366615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516663255049789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23287456 + ... + 39694232.

It is an arithmetic number, because the mean of its divisors is an integer number (7913448419184).

It is a 1-persistent number, because it is pandigital, but 2⋅516663255049788 = 1033326510099576 is not.

Almost surely, 2^{516663255049788} 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 516663255049788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759691048241664).

516663255049788 is an abundant number, since it is smaller than the sum of its proper divisors (1002718841433540).

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

516663255049788 is a wasteful number, since it uses less digits than its factorization.

516663255049788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16407172 (or 16407170 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 75.

The spelling of 516663255049788 in words is "five hundred sixteen trillion, six hundred sixty-three billion, two hundred fifty-five million, forty-nine thousand, seven hundred eighty-eight".