6005512800 has 288 divisors, whose sum is σ = 24823411200. Its totient is φ = 1372654080.

The previous prime is 6005512757. The next prime is 6005512801. The reversal of 6005512800 is 82155006.

6005512800 is a `hidden beast` number, since 600 + 5 + 51 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005512801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 131341 + ... + 171059.

It is an arithmetic number, because the mean of its divisors is an integer number (86192400).

Almost surely, 2^6005512800 is an apocalyptic number.

6005512800 is a gapful number since it is divisible by the number (60) 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 6005512800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411705600).

6005512800 is an abundant number, since it is smaller than the sum of its proper divisors (18817898400).

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

6005512800 is a wasteful number, since it uses less digits than its factorization.

6005512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39755 (or 39736 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 6005512800 is about 77495.2437250184. The cubic root of 6005512800 is about 1817.6769459414.

Adding to 6005512800 its reverse (82155006), we get a palindrome (6087667806).

It can be divided in two parts, 600551 and 2800, that added together give a triangular number (603351 = T₁₀₉₈).

The spelling of 6005512800 in words is "six billion, five million, five hundred twelve thousand, eight hundred".