85666564600 has 24 divisors (see below), whose sum is σ = 199174763160. Its totient is φ = 34266625760.

The previous prime is 85666564591. The next prime is 85666564603. The reversal of 85666564600 is 646566658.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85666564603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214166212 + ... + 214166611.

It is an arithmetic number, because the mean of its divisors is an integer number (8298948465).

Almost surely, 2^85666564600 is an apocalyptic number.

It is an amenable number.

85666564600 is an abundant number, since it is smaller than the sum of its proper divisors (113508198560).

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

85666564600 is a wasteful number, since it uses less digits than its factorization.

85666564600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428332839 (or 428332830 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 85666564600 in words is "eighty-five billion, six hundred sixty-six million, five hundred sixty-four thousand, six hundred".