505532560000 has 320 divisors, whose sum is σ = 1360504280520. Its totient is φ = 185942016000.

The previous prime is 505532559899. The next prime is 505532560051. The reversal of 505532560000 is 65235505.

It can be written as a sum of positive squares in 20 ways, for example, as 498786237504 + 6746322496 = 706248^2 + 82136^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 325519224 + ... + 325520776.

Almost surely, 2^505532560000 is an apocalyptic number.

505532560000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505532560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680252140260).

505532560000 is an abundant number, since it is smaller than the sum of its proper divisors (854971720520).

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

505532560000 is a wasteful number, since it uses less digits than its factorization.

505532560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

Adding to 505532560000 its reverse (65235505), we get a palindrome (505597795505).

The spelling of 505532560000 in words is "five hundred five billion, five hundred thirty-two million, five hundred sixty thousand".