505364005566 has 72 divisors (see below), whose sum is σ = 1273881969360. Its totient is φ = 144371759616.

The previous prime is 505364005561. The next prime is 505364005571. The reversal of 505364005566 is 665500463505.

505364005566 is a `hidden beast` number, since 5 + 0 + 53 + 6 + 40 + 0 + 556 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (505364005561) and next prime (505364005571).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505364005561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8117790 + ... + 8179806.

It is an arithmetic number, because the mean of its divisors is an integer number (17692805130).

Almost surely, 2^505364005566 is an apocalyptic number.

505364005566 is an abundant number, since it is smaller than the sum of its proper divisors (768517963794).

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

505364005566 is a wasteful number, since it uses less digits than its factorization.

505364005566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71278 (or 71268 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 505364005566 in words is "five hundred five billion, three hundred sixty-four million, five thousand, five hundred sixty-six".