508675399680 has 448 divisors, whose sum is σ = 1885899817728. Its totient is φ = 114661785600.

The previous prime is 508675399663. The next prime is 508675399723. The reversal of 508675399680 is 86993576805.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 62787630 + ... + 62795730.

Almost surely, 2^508675399680 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 508675399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942949908864).

508675399680 is an abundant number, since it is smaller than the sum of its proper divisors (1377224418048).

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

508675399680 is an equidigital number, since it uses as much as digits as its factorization.

508675399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 508675399680 in words is "five hundred eight billion, six hundred seventy-five million, three hundred ninety-nine thousand, six hundred eighty".