6000051600 has 135 divisors (see below), whose sum is σ = 20837986689. Its totient is φ = 1598774400.

The previous prime is 6000051583. The next prime is 6000051601. The reversal of 6000051600 is 61500006.

The square root of 6000051600 is 77460.

It is a perfect power (a square), and thus also a powerful number.

6000051600 is a `hidden beast` number, since 60 + 0 + 0 + 0 + 5 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2160018576 + 3840033024 = 46476^2 + 61968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6000051601) 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 26 ways as a sum of consecutive naturals, for example, 4646955 + ... + 4648245.

Almost surely, 2^6000051600 is an apocalyptic number.

6000051600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6000051600 is the 77460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000051600

6000051600 is an abundant number, since it is smaller than the sum of its proper divisors (14837935089).

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

6000051600 is a wasteful number, since it uses less digits than its factorization.

6000051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The cubic root of 6000051600 is about 1817.1258018962.

Adding to 6000051600 its reverse (61500006), we get a palindrome (6061551606).

The spelling of 6000051600 in words is "six billion, fifty-one thousand, six hundred".