505895795328 has 256 divisors, whose sum is σ = 1714335575040. Its totient is φ = 128345333760.

The previous prime is 505895795311. The next prime is 505895795341. The reversal of 505895795328 is 823597598505.

505895795328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072476 + ... + 1470372.

It is an arithmetic number, because the mean of its divisors is an integer number (6696623340).

Almost surely, 2^505895795328 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 505895795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857167787520).

505895795328 is an abundant number, since it is smaller than the sum of its proper divisors (1208439779712).

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

505895795328 is a wasteful number, since it uses less digits than its factorization.

505895795328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397975 (or 397963 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 66.

The spelling of 505895795328 in words is "five hundred five billion, eight hundred ninety-five million, seven hundred ninety-five thousand, three hundred twenty-eight".