85786047072 has 144 divisors (see below), whose sum is σ = 266518259280. Its totient is φ = 25958016000.

The previous prime is 85786047043. The next prime is 85786047089. The reversal of 85786047072 is 27074068758.

It is a happy number.

85786047072 is a `hidden beast` number, since 8 + 578 + 60 + 4 + 7 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 2201454 + ... + 2240082.

It is an arithmetic number, because the mean of its divisors is an integer number (1850821245).

Almost surely, 2^85786047072 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 85786047072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133259129640).

85786047072 is an abundant number, since it is smaller than the sum of its proper divisors (180732212208).

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

85786047072 is a wasteful number, since it uses less digits than its factorization.

85786047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39357 (or 39346 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 85786047072 in words is "eighty-five billion, seven hundred eighty-six million, forty-seven thousand, seventy-two".