27771582401 has 2 divisors, whose sum is σ = 27771582402. Its totient is φ = 27771582400.

The previous prime is 27771582373. The next prime is 27771582431. The reversal of 27771582401 is 10428517772.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25784651776 + 1986930625 = 160576^2 + 44575^2 .

It is a cyclic number.

It is not a de Polignac number, because 27771582401 - 2²² = 27767388097 is a prime.

It is not a weakly prime, because it can be changed into another prime (27771582431) 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 as a sum of consecutive naturals, namely, 13885791200 + 13885791201.

It is an arithmetic number, because the mean of its divisors is an integer number (13885791201).

Almost surely, 2^27771582401 is an apocalyptic number.

It is an amenable number.

27771582401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27771582401 is an equidigital number, since it uses as much as digits as its factorization.

27771582401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 219520, while the sum is 44.

The spelling of 27771582401 in words is "twenty-seven billion, seven hundred seventy-one million, five hundred eighty-two thousand, four hundred one".