27886859201601 has 9 divisors (see below), whose sum is σ = 40281041730241. Its totient is φ = 18591228906132.

The previous prime is 27886859201567. The next prime is 27886859201609. The reversal of 27886859201601 is 10610295868872.

The square root of 27886859201601 is 5280801.

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

27886859201601 is a `hidden beast` number, since 27 + 8 + 8 + 6 + 8 + 592 + 0 + 16 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 27886859201601 - 2⁷ = 27886859201473 is a prime.

It is a super-2 number, since 2×27886859201601² (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 (27886859201609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14962270 + ... + 16722536.

Almost surely, 2^{27886859201601} is an apocalyptic number.

27886859201601 is the 5280801-st square number.

27886859201601 is the 2640401-st centered octagonal number.

It is an amenable number.

27886859201601 is a deficient number, since it is larger than the sum of its proper divisors (12394182528640).

27886859201601 is an frugal number, since it uses more digits than its factorization.

27886859201601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520540 (or 1760270 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 27886859201601 in words is "twenty-seven trillion, eight hundred eighty-six billion, eight hundred fifty-nine million, two hundred one thousand, six hundred one".