505056576343264 has 96 divisors (see below), whose sum is σ = 1093042286848512. Its totient is φ = 227810763648000.

The previous prime is 505056576343229. The next prime is 505056576343271. The reversal of 505056576343264 is 462343675650505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1437458169 + ... + 1437809479.

It is an arithmetic number, because the mean of its divisors is an integer number (11385857154672).

Almost surely, 2^{505056576343264} 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 505056576343264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546521143424256).

505056576343264 is an abundant number, since it is smaller than the sum of its proper divisors (587985710505248).

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

505056576343264 is a wasteful number, since it uses less digits than its factorization.

505056576343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382640 (or 382632 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 61.

The spelling of 505056576343264 in words is "five hundred five trillion, fifty-six billion, five hundred seventy-six million, three hundred forty-three thousand, two hundred sixty-four".