27665414001 has 30 divisors (see below), whose sum is σ = 43202378450. Its totient is φ = 17641685952.

The previous prime is 27665413987. The next prime is 27665414011. The reversal of 27665414001 is 10041456672.

27665414001 is a `hidden beast` number, since 2 + 76 + 6 + 541 + 40 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26069331600 + 1596082401 = 161460^2 + 39951^2 .

It is not a de Polignac number, because 27665414001 - 2¹¹ = 27665411953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27665414011) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 279976 + ... + 365673.

Almost surely, 2^27665414001 is an apocalyptic number.

It is an amenable number.

27665414001 is a deficient number, since it is larger than the sum of its proper divisors (15536964449).

27665414001 is an equidigital number, since it uses as much as digits as its factorization.

27665414001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645707 (or 645675 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27665414001 in words is "twenty-seven billion, six hundred sixty-five million, four hundred fourteen thousand, one".