505502302052320 has 144 divisors (see below), whose sum is σ = 1204545054994848. Its totient is φ = 200471859947520.

The previous prime is 505502302052303. The next prime is 505502302052323. The reversal of 505502302052320 is 23250203205505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505502302052323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921587037 + ... + 1921850083.

It is an arithmetic number, because the mean of its divisors is an integer number (8364896215242).

Almost surely, 2^{505502302052320} 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 505502302052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602272527497424).

505502302052320 is an abundant number, since it is smaller than the sum of its proper divisors (699042752942528).

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

505502302052320 is a wasteful number, since it uses less digits than its factorization.

505502302052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263901 (or 263744 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 34.

Adding to 505502302052320 its reverse (23250203205505), we get a palindrome (528752505257825).

The spelling of 505502302052320 in words is "five hundred five trillion, five hundred two billion, three hundred two million, fifty-two thousand, three hundred twenty".