27824322561 has 16 divisors (see below), whose sum is σ = 43301074944. Its totient is φ = 15561322704.

The previous prime is 27824322541. The next prime is 27824322601. The reversal of 27824322561 is 16522342872.

It is not a de Polignac number, because 27824322561 - 2¹⁹ = 27823798273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27824322511) 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 15 ways as a sum of consecutive naturals, for example, 14094415 + ... + 14096388.

It is an arithmetic number, because the mean of its divisors is an integer number (2706317184).

Almost surely, 2^27824322561 is an apocalyptic number.

27824322561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27824322561 is a deficient number, since it is larger than the sum of its proper divisors (15476752383).

27824322561 is a wasteful number, since it uses less digits than its factorization.

27824322561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28190860.

The product of its digits is 322560, while the sum is 42.

The spelling of 27824322561 in words is "twenty-seven billion, eight hundred twenty-four million, three hundred twenty-two thousand, five hundred sixty-one".