5005168872 has 96 divisors (see below), whose sum is σ = 13928611200. Its totient is φ = 1497450240.

The previous prime is 5005168867. The next prime is 5005168873. The reversal of 5005168872 is 2788615005.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5005168873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218508 + ... + 240324.

It is an arithmetic number, because the mean of its divisors is an integer number (145089700).

Almost surely, 2^5005168872 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 5005168872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964305600).

5005168872 is an abundant number, since it is smaller than the sum of its proper divisors (8923442328).

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

5005168872 is a wasteful number, since it uses less digits than its factorization.

5005168872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21927 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 5005168872 is about 70747.2181219870. The cubic root of 5005168872 is about 1710.5649868645.

The spelling of 5005168872 in words is "five billion, five million, one hundred sixty-eight thousand, eight hundred seventy-two".