85821460209 has 9 divisors (see below), whose sum is σ = 123965600889. Its totient is φ = 57213720900.

The previous prime is 85821460187. The next prime is 85821460223. The reversal of 85821460209 is 90206412858.

The square root of 85821460209 is 292953.

It is a perfect power (a square), and thus also a powerful number.

85821460209 is a `hidden beast` number, since 8 + 582 + 1 + 4 + 60 + 2 + 0 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 85821460209 - 2⁵ = 85821460177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85821460279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 830034 + ... + 927684.

Almost surely, 2^85821460209 is an apocalyptic number.

85821460209 is the 292953-rd square number.

85821460209 is the 146477-th centered octagonal number.

It is an amenable number.

85821460209 is a deficient number, since it is larger than the sum of its proper divisors (38144140680).

85821460209 is an frugal number, since it uses more digits than its factorization.

85821460209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195308 (or 97654 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 85821460209 in words is "eighty-five billion, eight hundred twenty-one million, four hundred sixty thousand, two hundred nine".