27560809525921 has 27 divisors (see below), whose sum is σ = 32134960278777. Its totient is φ = 23568837200160.

The previous prime is 27560809525877. The next prime is 27560809525939. The reversal of 27560809525921 is 12952590806572.

The square root of 27560809525921 is 5249839.

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 309653296225 + 27251156229696 = 556465^2 + 5220264^2 .

It is not a de Polignac number, because 27560809525921 - 2⁹ = 27560809525409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27560809525921.

It is not an unprimeable number, because it can be changed into a prime (27560809585921) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29288851311 + ... + 29288852251.

Almost surely, 2^{27560809525921} is an apocalyptic number.

27560809525921 is the 5249839-th square number.

27560809525921 is the 2624920-th centered octagonal number.

It is an amenable number.

27560809525921 is a deficient number, since it is larger than the sum of its proper divisors (4574150752856).

27560809525921 is an frugal number, since it uses more digits than its factorization.

27560809525921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 61.

The spelling of 27560809525921 in words is "twenty-seven trillion, five hundred sixty billion, eight hundred nine million, five hundred twenty-five thousand, nine hundred twenty-one".