27268542481041 has 27 divisors (see below), whose sum is σ = 39507803352667. Its totient is φ = 18123853418880.

The previous prime is 27268542481009. The next prime is 27268542481133. The reversal of 27268542481041 is 14018424586272.

The square root of 27268542481041 is 5221929.

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

27268542481041 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 8 + 542 + 48 + 10 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11078412980625 + 16190129500416 = 3328425^2 + 4023696^2 .

It is not a de Polignac number, because 27268542481041 - 2⁵ = 27268542481009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27268542481001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5530020346 + ... + 5530025276.

Almost surely, 2^{27268542481041} is an apocalyptic number.

27268542481041 is the 5221929-th square number.

27268542481041 is the 2610965-th centered octagonal number.

It is an amenable number.

27268542481041 is a deficient number, since it is larger than the sum of its proper divisors (12239260871626).

27268542481041 is an frugal number, since it uses more digits than its factorization.

27268542481041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 27268542481041 in words is "twenty-seven trillion, two hundred sixty-eight billion, five hundred forty-two million, four hundred eighty-one thousand, forty-one".