27004348900 has 27 divisors (see below), whose sum is σ = 58603003291. Its totient is φ = 10801082240.

The previous prime is 27004348897. The next prime is 27004348913. The reversal of 27004348900 is 984340072.

It is a happy number.

The square root of 27004348900 is 164330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7001338276 + 20003010624 = 83674^2 + 141432^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27004348900.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 1635084 + ... + 1651516.

Almost surely, 2^27004348900 is an apocalyptic number.

27004348900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27004348900 is the 164330-th square number.

It is an amenable number.

27004348900 is an abundant number, since it is smaller than the sum of its proper divisors (31598654391).

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

27004348900 is an frugal number, since it uses more digits than its factorization.

27004348900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32880 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 27004348900 its reverse (984340072), we get a palindrome (27988688972).

The spelling of 27004348900 in words is "twenty-seven billion, four million, three hundred forty-eight thousand, nine hundred".