27759104853481 has 27 divisors (see below), whose sum is σ = 30542795813829. Its totient is φ = 25222951947648.

The previous prime is 27759104853407. The next prime is 27759104853511. The reversal of 27759104853481 is 18435840195772.

It is a happy number.

The square root of 27759104853481 is 5268691.

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 2743942555225 + 25015162298256 = 1656485^2 + 5001516^2 .

It is not a de Polignac number, because 27759104853481 - 2¹⁹ = 27759104329193 is a prime.

It is a super-2 number, since 2×27759104853481² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27759104853281) 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, 2597459320 + ... + 2597470006.

Almost surely, 2^{27759104853481} is an apocalyptic number.

27759104853481 is the 5268691-st square number.

27759104853481 is the 2634346-th centered octagonal number.

It is an amenable number.

27759104853481 is a deficient number, since it is larger than the sum of its proper divisors (2783690960348).

27759104853481 is an frugal number, since it uses more digits than its factorization.

27759104853481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21466 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 64.

The spelling of 27759104853481 in words is "twenty-seven trillion, seven hundred fifty-nine billion, one hundred four million, eight hundred fifty-three thousand, four hundred eighty-one".