27588213409 has 9 divisors (see below), whose sum is σ = 27785772273. Its totient is φ = 27392052852.

The previous prime is 27588213407. The next prime is 27588213413. The reversal of 27588213409 is 90431288572.

The square root of 27588213409 is 166097.

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

It is not a de Polignac number, because 27588213409 - 2¹ = 27588213407 is a prime.

It is a super-2 number, since 2×27588213409² (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 (27588213403) by changing a digit.

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, 27073302 + ... + 27074320.

Almost surely, 2^27588213409 is an apocalyptic number.

27588213409 is the 166097-th square number.

27588213409 is the 83049-th centered octagonal number.

It is an amenable number.

27588213409 is a deficient number, since it is larger than the sum of its proper divisors (197558864).

27588213409 is an frugal number, since it uses more digits than its factorization.

27588213409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 27588213409 by its sum of digits (49), we get a square (1351822457041 = 1162679²).

The spelling of 27588213409 in words is "twenty-seven billion, five hundred eighty-eight million, two hundred thirteen thousand, four hundred nine".