85967221329 has 24 divisors (see below), whose sum is σ = 135625089600. Its totient is φ = 52039196640.

The previous prime is 85967221321. The next prime is 85967221331. The reversal of 85967221329 is 92312276958.

85967221329 is a `hidden beast` number, since 8 + 5 + 96 + 7 + 221 + 329 = 666.

It is not a de Polignac number, because 85967221329 - 2³ = 85967221321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85967221321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434434 + ... + 600555.

It is an arithmetic number, because the mean of its divisors is an integer number (5651045400).

Almost surely, 2^85967221329 is an apocalyptic number.

It is an amenable number.

85967221329 is a deficient number, since it is larger than the sum of its proper divisors (49657868271).

85967221329 is a wasteful number, since it uses less digits than its factorization.

85967221329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035845 (or 1035842 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 85967221329 in words is "eighty-five billion, nine hundred sixty-seven million, two hundred twenty-one thousand, three hundred twenty-nine".