85805364450006 has 48 divisors (see below), whose sum is σ = 187100636299200. Its totient is φ = 28418872495104.

The previous prime is 85805364449977. The next prime is 85805364450037. The reversal of 85805364450006 is 60005446350858.

85805364450006 is a `hidden beast` number, since 8 + 5 + 80 + 53 + 6 + 4 + 4 + 500 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114245430 + ... + 114994038.

It is an arithmetic number, because the mean of its divisors is an integer number (3897929922900).

Almost surely, 2^{85805364450006} is an apocalyptic number.

85805364450006 is an abundant number, since it is smaller than the sum of its proper divisors (101295271849194).

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

85805364450006 is a wasteful number, since it uses less digits than its factorization.

85805364450006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789333 (or 789330 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 85805364450006 in words is "eighty-five trillion, eight hundred five billion, three hundred sixty-four million, four hundred fifty thousand, six".