6005000000 has 112 divisors (see below), whose sum is σ = 14907579024. Its totient is φ = 2400000000.

The previous prime is 6004999993. The next prime is 6005000039. The reversal of 6005000000 is 5006.

It can be written as a sum of positive squares in 8 ways, for example, as 2503201024 + 3501798976 = 50032^2 + 59176^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4999400 + ... + 5000600.

Almost surely, 2^6005000000 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 6005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453789512).

6005000000 is an abundant number, since it is smaller than the sum of its proper divisors (8902579024).

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

6005000000 is an frugal number, since it uses more digits than its factorization.

6005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 6005000000 is about 77491.9350642375. The cubic root of 6005000000 is about 1817.6252084073.

Adding to 6005000000 its reverse (5006), we get a palindrome (6005005006).

The spelling of 6005000000 in words is "six billion, five million", and thus it is an aban number and an uban number.