505944398819328 has 1248 divisors, whose sum is σ = 1651429249763328. Its totient is φ = 137183271321600.

The previous prime is 505944398819317. The next prime is 505944398819329. The reversal of 505944398819328 is 823918893449505.

It is a super-3 number, since 3×505944398819328³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505944398819329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668354555526 + ... + 668354556282.

Almost surely, 2^{505944398819328} 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 505944398819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825714624881664).

505944398819328 is an abundant number, since it is smaller than the sum of its proper divisors (1145484850944000).

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

505944398819328 is a wasteful number, since it uses less digits than its factorization.

505944398819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 2687385600, while the sum is 78.

The spelling of 505944398819328 in words is "five hundred five trillion, nine hundred forty-four billion, three hundred ninety-eight million, eight hundred nineteen thousand, three hundred twenty-eight".