508167920304 has 360 divisors, whose sum is σ = 1664779072320. Its totient is φ = 143109158400.

The previous prime is 508167920263. The next prime is 508167920311. The reversal of 508167920304 is 403029761805.

It is a self number, because there is not a number n which added to its sum of digits gives 508167920304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84536659 + ... + 84542669.

It is an arithmetic number, because the mean of its divisors is an integer number (4624386312).

It is a 1-persistent number, because it is pandigital, but 2⋅508167920304 = 1016335840608 is not.

Almost surely, 2^508167920304 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 508167920304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832389536160).

508167920304 is an abundant number, since it is smaller than the sum of its proper divisors (1156611152016).

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

508167920304 is a wasteful number, since it uses less digits than its factorization.

508167920304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6161 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 508167920304 in words is "five hundred eight billion, one hundred sixty-seven million, nine hundred twenty thousand, three hundred four".