505322047283328 has 1536 divisors, whose sum is σ = 1809285042585600. Its totient is φ = 137500360704000.

The previous prime is 505322047283293. The next prime is 505322047283351. The reversal of 505322047283328 is 823382740223505.

505322047283328 is a `hidden beast` number, since 5 + 0 + 5 + 32 + 2 + 0 + 4 + 7 + 283 + 328 = 666.

It is a super-2 number, since 2×505322047283328² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 24181548976 + ... + 24181569872.

It is an arithmetic number, because the mean of its divisors is an integer number (1177919949600).

Almost surely, 2^{505322047283328} 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 505322047283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904642521292800).

505322047283328 is an abundant number, since it is smaller than the sum of its proper divisors (1303962995302272).

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

505322047283328 is a wasteful number, since it uses less digits than its factorization.

505322047283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21067 (or 21032 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 505322047283328 in words is "five hundred five trillion, three hundred twenty-two billion, forty-seven million, two hundred eighty-three thousand, three hundred twenty-eight".