505945060580544 has 1344 divisors, whose sum is σ = 1599557273653248. Its totient is φ = 140109535641600.

The previous prime is 505945060580527. The next prime is 505945060580587. The reversal of 505945060580544 is 445085060549505.

It is a super-2 number, since 2×505945060580544² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 572984213127 + ... + 572984214009.

It is an arithmetic number, because the mean of its divisors is an integer number (1190146780992).

Almost surely, 2^{505945060580544} 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 505945060580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799778636826624).

505945060580544 is an abundant number, since it is smaller than the sum of its proper divisors (1093612213072704).

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

505945060580544 is a wasteful number, since it uses less digits than its factorization.

505945060580544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 86400000, while the sum is 60.

The spelling of 505945060580544 in words is "five hundred five trillion, nine hundred forty-five billion, sixty million, five hundred eighty thousand, five hundred forty-four".