27932821092801 has 45 divisors (see below), whose sum is σ = 42015777077043. Its totient is φ = 18493800379200.

The previous prime is 27932821092791. The next prime is 27932821092821. The reversal of 27932821092801 is 10829012823972.

The square root of 27932821092801 is 5285151.

It is a perfect power (a square), and thus also a powerful number.

27932821092801 is a `hidden beast` number, since 2 + 79 + 3 + 282 + 10 + 9 + 280 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20246841123201 + 7685979969600 = 4499649^2 + 2772360^2 .

It is not a de Polignac number, because 27932821092801 - 2²⁹ = 27932284221889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27932821092821) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7182518265 + ... + 7182522153.

Almost surely, 2^{27932821092801} is an apocalyptic number.

27932821092801 is the 5285151-st square number.

27932821092801 is the 2642576-th centered octagonal number.

It is an amenable number.

27932821092801 is a deficient number, since it is larger than the sum of its proper divisors (14082955984242).

27932821092801 is an frugal number, since it uses more digits than its factorization.

27932821092801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8092 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 279328 and 21092801, that added together give a square (21372129 = 4623²).

The spelling of 27932821092801 in words is "twenty-seven trillion, nine hundred thirty-two billion, eight hundred twenty-one million, ninety-two thousand, eight hundred one".