85766548409 has 2 divisors, whose sum is σ = 85766548410. Its totient is φ = 85766548408.

The previous prime is 85766548363. The next prime is 85766548453. The reversal of 85766548409 is 90484566758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49438188409 + 36328360000 = 222347^2 + 190600^2 .

It is a cyclic number.

It is not a de Polignac number, because 85766548409 - 2¹² = 85766544313 is a prime.

It is not a weakly prime, because it can be changed into another prime (85766548459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42883274204 + 42883274205.

It is an arithmetic number, because the mean of its divisors is an integer number (42883274205).

Almost surely, 2^85766548409 is an apocalyptic number.

It is an amenable number.

85766548409 is a deficient number, since it is larger than the sum of its proper divisors (1).

85766548409 is an equidigital number, since it uses as much as digits as its factorization.

85766548409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 62.

The spelling of 85766548409 in words is "eighty-five billion, seven hundred sixty-six million, five hundred forty-eight thousand, four hundred nine".