27545045089 has 27 divisors (see below), whose sum is σ = 29321593977. Its totient is φ = 25874919168.

The previous prime is 27545045081. The next prime is 27545045131. The reversal of 27545045089 is 98054054572.

The square root of 27545045089 is 165967.

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 19580625 + 27525464464 = 4425^2 + 165908^2 .

It is not a de Polignac number, because 27545045089 - 2³ = 27545045081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27545045081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283969489 + ... + 283969585.

Almost surely, 2^27545045089 is an apocalyptic number.

27545045089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

27545045089 is the 165967-th square number.

27545045089 is the 82984-th centered octagonal number.

It is an amenable number.

27545045089 is a deficient number, since it is larger than the sum of its proper divisors (1776548888).

27545045089 is an frugal number, since it uses more digits than its factorization.

27545045089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 27545045089 by its sum of digits (49), we get a square (1349707209361 = 1161769²).

The spelling of 27545045089 in words is "twenty-seven billion, five hundred forty-five million, forty-five thousand, eighty-nine".