27577356681 has 48 divisors (see below), whose sum is σ = 43846812672. Its totient is φ = 15100953120.

The previous prime is 27577356679. The next prime is 27577356691. The reversal of 27577356681 is 18665377572.

It is not a de Polignac number, because 27577356681 - 2¹ = 27577356679 is a prime.

It is a super-2 number, since 2×27577356681² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27577356671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2072010 + ... + 2085276.

It is an arithmetic number, because the mean of its divisors is an integer number (913475264).

Almost surely, 2^27577356681 is an apocalyptic number.

27577356681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27577356681 is a deficient number, since it is larger than the sum of its proper divisors (16269455991).

27577356681 is a wasteful number, since it uses less digits than its factorization.

27577356681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13442 (or 13411 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 57.

The spelling of 27577356681 in words is "twenty-seven billion, five hundred seventy-seven million, three hundred fifty-six thousand, six hundred eighty-one".