508505940168 has 128 divisors (see below), whose sum is σ = 1324490400000. Its totient is φ = 162492244992.

The previous prime is 508505940157. The next prime is 508505940221. The reversal of 508505940168 is 861049505805.

It is a super-2 number, since 2×508505940168² (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 508505940168.

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, 70494930 + ... + 70502142.

It is an arithmetic number, because the mean of its divisors is an integer number (10347581250).

Almost surely, 2^508505940168 is an apocalyptic number.

508505940168 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508505940168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662245200000).

508505940168 is an abundant number, since it is smaller than the sum of its proper divisors (815984459832).

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

508505940168 is a wasteful number, since it uses less digits than its factorization.

508505940168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 51.

The spelling of 508505940168 in words is "five hundred eight billion, five hundred five million, nine hundred forty thousand, one hundred sixty-eight".