27219390289 has 63 divisors (see below), whose sum is σ = 35341069617. Its totient is φ = 20954160864.

The previous prime is 27219390271. The next prime is 27219390337. The reversal of 27219390289 is 98209391272.

The square root of 27219390289 is 164983.

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 113060689 + 27106329600 = 10633^2 + 164640^2 .

It is not a de Polignac number, because 27219390289 - 2¹¹ = 27219388241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27219390239) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 735659179 + ... + 735659215.

It is an arithmetic number, because the mean of its divisors is an integer number (560969359).

Almost surely, 2^27219390289 is an apocalyptic number.

27219390289 is the 164983-rd square number.

27219390289 is the 82492-nd centered octagonal number.

It is an amenable number.

27219390289 is a deficient number, since it is larger than the sum of its proper divisors (8121679328).

27219390289 is an frugal number, since it uses more digits than its factorization.

27219390289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

The spelling of 27219390289 in words is "twenty-seven billion, two hundred nineteen million, three hundred ninety thousand, two hundred eighty-nine".