506320410320 has 80 divisors (see below), whose sum is σ = 1189032022080. Its totient is φ = 200499965952.

The previous prime is 506320410319. The next prime is 506320410361. The reversal of 506320410320 is 23014023605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×506320410320² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506320410320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3860867 + ... + 3989853.

It is an arithmetic number, because the mean of its divisors is an integer number (14862900276).

Almost surely, 2^506320410320 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 506320410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594516011040).

506320410320 is an abundant number, since it is smaller than the sum of its proper divisors (682711611760).

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

506320410320 is a wasteful number, since it uses less digits than its factorization.

506320410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129492 (or 129486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 506320410320 its reverse (23014023605), we get a palindrome (529334433925).

The spelling of 506320410320 in words is "five hundred six billion, three hundred twenty million, four hundred ten thousand, three hundred twenty".