27409120249 has 27 divisors (see below), whose sum is σ = 32459014287. Its totient is φ = 23077321344.

The previous prime is 27409120241. The next prime is 27409120259. The reversal of 27409120249 is 94202190472.

The square root of 27409120249 is 165557.

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

It can be written as a sum of positive squares in only one way, i.e., 11135525625 + 16273594624 = 105525^2 + 127568^2 .

It is not a de Polignac number, because 27409120249 - 2³ = 27409120241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27409120241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77646057 + ... + 77646409.

Almost surely, 2^27409120249 is an apocalyptic number.

27409120249 is the 165557-th square number.

27409120249 is the 82779-th centered octagonal number.

It is an amenable number.

27409120249 is a deficient number, since it is larger than the sum of its proper divisors (5049894038).

27409120249 is an frugal number, since it uses more digits than its factorization.

27409120249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 27409120249 in words is "twenty-seven billion, four hundred nine million, one hundred twenty thousand, two hundred forty-nine".