27071646401 has 2 divisors, whose sum is σ = 27071646402. Its totient is φ = 27071646400.

The previous prime is 27071646397. The next prime is 27071646431. The reversal of 27071646401 is 10464617072.

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., 22745164225 + 4326482176 = 150815^2 + 65776^2 .

It is a cyclic number.

It is not a de Polignac number, because 27071646401 - 2² = 27071646397 is a prime.

It is not a weakly prime, because it can be changed into another prime (27071646431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13535823200 + 13535823201.

It is an arithmetic number, because the mean of its divisors is an integer number (13535823201).

Almost surely, 2^27071646401 is an apocalyptic number.

It is an amenable number.

27071646401 is a deficient number, since it is larger than the sum of its proper divisors (1).

27071646401 is an equidigital number, since it uses as much as digits as its factorization.

27071646401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 27071646401 in words is "twenty-seven billion, seventy-one million, six hundred forty-six thousand, four hundred one".