508833242160 has 320 divisors, whose sum is σ = 1648983744000. Its totient is φ = 129708564480.

The previous prime is 508833242153. The next prime is 508833242161. The reversal of 508833242160 is 61242338805.

It is a super-2 number, since 2×508833242160² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (508833242161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 76871331 + ... + 76877949.

It is an arithmetic number, because the mean of its divisors is an integer number (5153074200).

Almost surely, 2^508833242160 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 508833242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824491872000).

508833242160 is an abundant number, since it is smaller than the sum of its proper divisors (1140150501840).

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

508833242160 is a wasteful number, since it uses less digits than its factorization.

508833242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 508833242160 in words is "five hundred eight billion, eight hundred thirty-three million, two hundred forty-two thousand, one hundred sixty".