27089868100 has 81 divisors (see below), whose sum is σ = 59724784791. Its totient is φ = 10665432000.

The previous prime is 27089868097. The next prime is 27089868121. The reversal of 27089868100 is 186898072.

The square root of 27089868100 is 164590.

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 99321156 + 26990546944 = 9966^2 + 164288^2 .

It is a super-2 number, since 2×27089868100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 179403025 + ... + 179403175.

Almost surely, 2^27089868100 is an apocalyptic number.

27089868100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27089868100 is the 164590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27089868100

27089868100 is an abundant number, since it is smaller than the sum of its proper divisors (32634916691).

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

27089868100 is a wasteful number, since it uses less digits than its factorization.

27089868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 27089868100 by its sum of digits (49), we get a square (1327403536900 = 1152130²).

The spelling of 27089868100 in words is "twenty-seven billion, eighty-nine million, eight hundred sixty-eight thousand, one hundred".