505200445216 has 192 divisors, whose sum is σ = 1096622126208. Its totient is φ = 228175986688.

The previous prime is 505200445153. The next prime is 505200445229. The reversal of 505200445216 is 612544002505.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 256056006 + ... + 256057978.

It is an arithmetic number, because the mean of its divisors is an integer number (5711573574).

Almost surely, 2^505200445216 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 505200445216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548311063104).

505200445216 is an abundant number, since it is smaller than the sum of its proper divisors (591421680992).

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

505200445216 is a wasteful number, since it uses less digits than its factorization.

505200445216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 505200445216 in words is "five hundred five billion, two hundred million, four hundred forty-five thousand, two hundred sixteen".