27832345526801 has 2 divisors, whose sum is σ = 27832345526802. Its totient is φ = 27832345526800.

The previous prime is 27832345526789. The next prime is 27832345526807. The reversal of 27832345526801 is 10862554323872.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27440845036801 + 391500490000 = 5238401^2 + 625700^2 .

It is a cyclic number.

It is not a de Polignac number, because 27832345526801 - 2⁴² = 23434299015697 is a prime.

It is not a weakly prime, because it can be changed into another prime (27832345526807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13916172763400 + 13916172763401.

It is an arithmetic number, because the mean of its divisors is an integer number (13916172763401).

Almost surely, 2^{27832345526801} is an apocalyptic number.

It is an amenable number.

27832345526801 is a deficient number, since it is larger than the sum of its proper divisors (1).

27832345526801 is an equidigital number, since it uses as much as digits as its factorization.

27832345526801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 27832345526801 in words is "twenty-seven trillion, eight hundred thirty-two billion, three hundred forty-five million, five hundred twenty-six thousand, eight hundred one".