505668666516 has 192 divisors, whose sum is σ = 1296795709440. Its totient is φ = 152432409600.

The previous prime is 505668666511. The next prime is 505668666557. The reversal of 505668666516 is 615666866505.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 505668666516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505668666511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106495760 + ... + 1106496216.

It is an arithmetic number, because the mean of its divisors is an integer number (6754144320).

Almost surely, 2^505668666516 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 505668666516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648397854720).

505668666516 is an abundant number, since it is smaller than the sum of its proper divisors (791127042924).

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

505668666516 is a wasteful number, since it uses less digits than its factorization.

505668666516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 60.

The spelling of 505668666516 in words is "five hundred five billion, six hundred sixty-eight million, six hundred sixty-six thousand, five hundred sixteen".