505200404316 has 192 divisors, whose sum is σ = 1320767078400. Its totient is φ = 149637196800.

The previous prime is 505200404281. The next prime is 505200404389. The reversal of 505200404316 is 613404002505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39807700 + ... + 39820388.

It is an arithmetic number, because the mean of its divisors is an integer number (6878995200).

Almost surely, 2^505200404316 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 505200404316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660383539200).

505200404316 is an abundant number, since it is smaller than the sum of its proper divisors (815566674084).

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

505200404316 is a wasteful number, since it uses less digits than its factorization.

505200404316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12918 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 505200404316 in words is "five hundred five billion, two hundred million, four hundred four thousand, three hundred sixteen".