27064281288231 has 64 divisors (see below), whose sum is σ = 45668359664640. Its totient is φ = 15680378229120.

The previous prime is 27064281288223. The next prime is 27064281288269. The reversal of 27064281288231 is 13288218246072.

It is a happy number.

27064281288231 is a `hidden beast` number, since 2 + 7 + 0 + 64 + 281 + 288 + 23 + 1 = 666.

It is not a de Polignac number, because 27064281288231 - 2³ = 27064281288223 is a prime.

It is a super-2 number, since 2×27064281288231² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27064281218231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10695025 + ... + 12981221.

It is an arithmetic number, because the mean of its divisors is an integer number (713568119760).

Almost surely, 2^{27064281288231} is an apocalyptic number.

27064281288231 is a deficient number, since it is larger than the sum of its proper divisors (18604078376409).

27064281288231 is a wasteful number, since it uses less digits than its factorization.

27064281288231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287973 (or 2287967 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27064281288231 in words is "twenty-seven trillion, sixty-four billion, two hundred eighty-one million, two hundred eighty-eight thousand, two hundred thirty-one".