508319382320 has 80 divisors (see below), whose sum is σ = 1199340380160. Its totient is φ = 200321452800.

The previous prime is 508319382317. The next prime is 508319382343. The reversal of 508319382320 is 23283913805.

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

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, 8142425 + ... + 8204615.

It is an arithmetic number, because the mean of its divisors is an integer number (14991754752).

Almost surely, 2^508319382320 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 508319382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599670190080).

508319382320 is an abundant number, since it is smaller than the sum of its proper divisors (691020997840).

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

508319382320 is a wasteful number, since it uses less digits than its factorization.

508319382320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63714 (or 63708 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 508319382320 in words is "five hundred eight billion, three hundred nineteen million, three hundred eighty-two thousand, three hundred twenty".