27884831410881 has 9 divisors (see below), whose sum is σ = 40278112698369. Its totient is φ = 18589877046036.

The previous prime is 27884831410873. The next prime is 27884831410907. The reversal of 27884831410881 is 18801413848872.

The square root of 27884831410881 is 5280609.

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

27884831410881 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 483 + 141 + 0 + 8 + 8 + 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 27884831410881 - 2³ = 27884831410873 is a prime.

It is a super-3 number, since 3×27884831410881³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (27884831410871) 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, 14961726 + ... + 16721928.

Almost surely, 2^{27884831410881} is an apocalyptic number.

27884831410881 is the 5280609-th square number.

27884831410881 is the 2640305-th centered octagonal number.

It is an amenable number.

27884831410881 is a deficient number, since it is larger than the sum of its proper divisors (12393281287488).

27884831410881 is an frugal number, since it uses more digits than its factorization.

27884831410881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520412 (or 1760206 counting only the distinct ones).

The product of its (nonzero) digits is 22020096, while the sum is 63.

The spelling of 27884831410881 in words is "twenty-seven trillion, eight hundred eighty-four billion, eight hundred thirty-one million, four hundred ten thousand, eight hundred eighty-one".