85686103728 has 120 divisors (see below), whose sum is σ = 249443878320. Its totient is φ = 27424535040.

The previous prime is 85686103703. The next prime is 85686103751. The reversal of 85686103728 is 82730168658.

85686103728 is a `hidden beast` number, since 8 + 568 + 6 + 1 + 0 + 3 + 72 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699175 + ... + 812537.

It is an arithmetic number, because the mean of its divisors is an integer number (2078698986).

Almost surely, 2^85686103728 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 85686103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124721939160).

85686103728 is an abundant number, since it is smaller than the sum of its proper divisors (163757774592).

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

85686103728 is a wasteful number, since it uses less digits than its factorization.

85686103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113587 (or 113578 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 85686103728 in words is "eighty-five billion, six hundred eighty-six million, one hundred three thousand, seven hundred twenty-eight".