505225202220 has 288 divisors, whose sum is σ = 1630020188160. Its totient is φ = 126397877760.

The previous prime is 505225202179. The next prime is 505225202221. The reversal of 505225202220 is 22202522505.

505225202220 is a `hidden beast` number, since 50 + 52 + 2 + 520 + 22 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (505225202221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66290010 + ... + 66297630.

It is an arithmetic number, because the mean of its divisors is an integer number (5659792320).

Almost surely, 2^505225202220 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 505225202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815010094080).

505225202220 is an abundant number, since it is smaller than the sum of its proper divisors (1124794985940).

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

505225202220 is a wasteful number, since it uses less digits than its factorization.

505225202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 505225202220 its reverse (22202522505), we get a palindrome (527427724725).

The spelling of 505225202220 in words is "five hundred five billion, two hundred twenty-five million, two hundred two thousand, two hundred twenty".