85205222432 has 54 divisors (see below), whose sum is σ = 184423239567. Its totient is φ = 38721390400.

The previous prime is 85205222381. The next prime is 85205222461. The reversal of 85205222432 is 23422250258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42602611216 + 42602611216 = 206404^2 + 206404^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=206404.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85205222392 and 85205222401.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 18161207 + ... + 18165897.

Almost surely, 2^85205222432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85205222432

85205222432 is an abundant number, since it is smaller than the sum of its proper divisors (99218017135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85205222432 is an frugal number, since it uses more digits than its factorization.

85205222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 85205222432 in words is "eighty-five billion, two hundred five million, two hundred twenty-two thousand, four hundred thirty-two".