27966656299201 has 9 divisors (see below), whose sum is σ = 28015600760931. Its totient is φ = 27917797224312.

The previous prime is 27966656299121. The next prime is 27966656299237. The reversal of 27966656299201 is 10299265666972.

The square root of 27966656299201 is 5288351.

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

It can be written as a sum of positive squares in only one way, i.e., 91170783025 + 27875485516176 = 301945^2 + 5279724^2 .

It is not a de Polignac number, because 27966656299201 - 2²⁷ = 27966522081473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27966656299501) 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, 3241754850 + ... + 3241763476.

Almost surely, 2^{27966656299201} is an apocalyptic number.

27966656299201 is the 5288351-st square number.

27966656299201 is the 2644176-th centered octagonal number.

It is an amenable number.

27966656299201 is a deficient number, since it is larger than the sum of its proper divisors (48944461730).

27966656299201 is an frugal number, since it uses more digits than its factorization.

27966656299201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18480 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 70.

The spelling of 27966656299201 in words is "twenty-seven trillion, nine hundred sixty-six billion, six hundred fifty-six million, two hundred ninety-nine thousand, two hundred one".