505242522400 has 144 divisors (see below), whose sum is σ = 1537774701120. Its totient is φ = 157478169600.

The previous prime is 505242522353. The next prime is 505242522401. The reversal of 505242522400 is 4225242505.

It is a super-2 number, since 2×505242522400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505242522401) 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 23 ways as a sum of consecutive naturals, for example, 4039395 + ... + 4162594.

It is an arithmetic number, because the mean of its divisors is an integer number (10678990980).

Almost surely, 2^505242522400 is an apocalyptic number.

505242522400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505242522400 is an abundant number, since it is smaller than the sum of its proper divisors (1032532178720).

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

505242522400 is a wasteful number, since it uses less digits than its factorization.

505242522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202027 (or 8202014 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 31.

Adding to 505242522400 its reverse (4225242505), we get a palindrome (509467764905).

The spelling of 505242522400 in words is "five hundred five billion, two hundred forty-two million, five hundred twenty-two thousand, four hundred".