27639480960001 has 2 divisors, whose sum is σ = 27639480960002. Its totient is φ = 27639480960000.

The previous prime is 27639480959903. The next prime is 27639480960019. The reversal of 27639480960001 is 10006908493672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22513354790976 + 5126126169025 = 4744824^2 + 2264095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27639480960001 is a prime.

It is not a weakly prime, because it can be changed into another prime (27639480960041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13819740480000 + 13819740480001.

It is an arithmetic number, because the mean of its divisors is an integer number (13819740480001).

Almost surely, 2^{27639480960001} is an apocalyptic number.

It is an amenable number.

27639480960001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27639480960001 is an equidigital number, since it uses as much as digits as its factorization.

27639480960001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 27639480960001 in words is "twenty-seven trillion, six hundred thirty-nine billion, four hundred eighty million, nine hundred sixty thousand, one".