5005006000 has 80 divisors (see below), whose sum is σ = 12227342400. Its totient is φ = 1981286400.

The previous prime is 5005005953. The next prime is 5005006001. The reversal of 5005006000 is 6005005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5005006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181101 + ... + 206899.

It is an arithmetic number, because the mean of its divisors is an integer number (152841780).

Almost surely, 2^5005006000 is an apocalyptic number.

5005006000 is a gapful number since it is divisible by the number (50) 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 5005006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113671200).

5005006000 is an abundant number, since it is smaller than the sum of its proper divisors (7222336400).

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

5005006000 is a wasteful number, since it uses less digits than its factorization.

5005006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25919 (or 25903 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5005006000 is about 70746.0670284928. The cubic root of 5005006000 is about 1710.5464323016.

The spelling of 5005006000 in words is "five billion, five million, six thousand".