27627661825 has 12 divisors (see below), whose sum is σ = 34260424380. Its totient is φ = 22100759360.

The previous prime is 27627661819. The next prime is 27627661837. The reversal of 27627661825 is 52816672672.

It can be written as a sum of positive squares in 6 ways, for example, as 202977009 + 27424684816 = 14247^2 + 165604^2 .

It is not a de Polignac number, because 27627661825 - 2¹⁹ = 27627137537 is a prime.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 628671 + ... + 671179.

It is an arithmetic number, because the mean of its divisors is an integer number (2855035365).

Almost surely, 2^27627661825 is an apocalyptic number.

27627661825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27627661825 is a deficient number, since it is larger than the sum of its proper divisors (6632762555).

27627661825 is a wasteful number, since it uses less digits than its factorization.

27627661825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68516 (or 68511 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The spelling of 27627661825 in words is "twenty-seven billion, six hundred twenty-seven million, six hundred sixty-one thousand, eight hundred twenty-five".