85388507777 has 2 divisors, whose sum is σ = 85388507778. Its totient is φ = 85388507776.

The previous prime is 85388507747. The next prime is 85388507807. The reversal of 85388507777 is 77770588358.

It is a balanced prime because it is at equal distance from previous prime (85388507747) and next prime (85388507807).

It can be written as a sum of positive squares in only one way, i.e., 80846960896 + 4541546881 = 284336^2 + 67391^2 .

It is a cyclic number.

It is not a de Polignac number, because 85388507777 - 2⁸ = 85388507521 is a prime.

It is not a weakly prime, because it can be changed into another prime (85388507747) 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, 42694253888 + 42694253889.

It is an arithmetic number, because the mean of its divisors is an integer number (42694253889).

Almost surely, 2^85388507777 is an apocalyptic number.

It is an amenable number.

85388507777 is a deficient number, since it is larger than the sum of its proper divisors (1).

85388507777 is an equidigital number, since it uses as much as digits as its factorization.

85388507777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92198400, while the sum is 65.

The spelling of 85388507777 in words is "eighty-five billion, three hundred eighty-eight million, five hundred seven thousand, seven hundred seventy-seven".