5005000000 has 448 divisors, whose sum is σ = 16668707328. Its totient is φ = 1440000000.

The previous prime is 5004999997. The next prime is 5005000001. The reversal of 5005000000 is 5005.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005000001) 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 63 ways as a sum of consecutive naturals, for example, 384999994 + ... + 385000006.

It is an arithmetic number, because the mean of its divisors is an integer number (37206936).

Almost surely, 2^5005000000 is an apocalyptic number.

5005000000 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 5005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334353664).

5005000000 is an abundant number, since it is smaller than the sum of its proper divisors (11663707328).

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

5005000000 is an frugal number, since it uses more digits than its factorization.

5005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 5005000000 is about 70746.0246232960. The cubic root of 5005000000 is about 1710.5457487671.

Adding to 5005000000 its reverse (5005), we get a palindrome (5005005005).

Multiplying 5005000000 by its reverse (5005), we get a square (25050025000000 = 5005000²).

5005000000 divided by its reverse (5005) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 500 and 5000000, that multiplied together give a square (2500000000 = 50000²).

The spelling of 5005000000 in words is "five billion, five million", and thus it is an aban number and an uban number.