27556633066261 has 8 divisors (see below), whose sum is σ = 29892989942424. Its totient is φ = 25251221314560.

The previous prime is 27556633066229. The next prime is 27556633066279. The reversal of 27556633066261 is 16266033665572.

It can be written as a sum of positive squares in 4 ways, for example, as 146225171236 + 27410407895025 = 382394^2 + 5235495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27556633066261 - 2⁵ = 27556633066229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27556633066196 and 27556633066205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27556633066211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7736279260 + ... + 7736282821.

It is an arithmetic number, because the mean of its divisors is an integer number (3736623742803).

Almost surely, 2^{27556633066261} is an apocalyptic number.

It is an amenable number.

27556633066261 is a deficient number, since it is larger than the sum of its proper divisors (2336356876163).

27556633066261 is a wasteful number, since it uses less digits than its factorization.

27556633066261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15472562231.

The product of its (nonzero) digits is 48988800, while the sum is 58.

The spelling of 27556633066261 in words is "twenty-seven trillion, five hundred fifty-six billion, six hundred thirty-three million, sixty-six thousand, two hundred sixty-one".