505202205060 has 384 divisors, whose sum is σ = 1914180710400. Its totient is φ = 109395909504.

The previous prime is 505202205047. The next prime is 505202205061. The reversal of 505202205060 is 60502202505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (505202205061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5773999 + ... + 5860841.

It is an arithmetic number, because the mean of its divisors is an integer number (4984845600).

Almost surely, 2^505202205060 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 505202205060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957090355200).

505202205060 is an abundant number, since it is smaller than the sum of its proper divisors (1408978505340).

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

505202205060 is a wasteful number, since it uses less digits than its factorization.

505202205060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86899 (or 86879 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 505202205060 its reverse (60502202505), we get a palindrome (565704407565).

The spelling of 505202205060 in words is "five hundred five billion, two hundred two million, two hundred five thousand, sixty".