27745564900 has 27 divisors (see below), whose sum is σ = 60211490619. Its totient is φ = 11097559680.

The previous prime is 27745564883. The next prime is 27745564909. The reversal of 27745564900 is 946554772.

It is a happy number.

The square root of 27745564900 is 166570.

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 8371152036 + 19374412864 = 91494^2 + 139192^2 .

It is a super-2 number, since 2×27745564900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27745564909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1657372 + ... + 1674028.

Almost surely, 2^27745564900 is an apocalyptic number.

27745564900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27745564900 is the 166570-th square number.

It is an amenable number.

27745564900 is an abundant number, since it is smaller than the sum of its proper divisors (32465925719).

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

27745564900 is an frugal number, since it uses more digits than its factorization.

27745564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33328 (or 16664 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 27745564900 by its sum of digits (49), we get a square (1359532680100 = 1165990²).

The spelling of 27745564900 in words is "twenty-seven billion, seven hundred forty-five million, five hundred sixty-four thousand, nine hundred".