85856094072 has 256 divisors, whose sum is σ = 286588800000. Its totient is φ = 23295444480.

The previous prime is 85856093977. The next prime is 85856094089. The reversal of 85856094072 is 27049065858.

85856094072 is a `hidden beast` number, since 8 + 5 + 8 + 560 + 9 + 4 + 0 + 72 = 666.

It is a super-2 number, since 2×85856094072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2658679 + ... + 2690777.

It is an arithmetic number, because the mean of its divisors is an integer number (1119487500).

Almost surely, 2^85856094072 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 85856094072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294400000).

85856094072 is an abundant number, since it is smaller than the sum of its proper divisors (200732705928).

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

85856094072 is a wasteful number, since it uses less digits than its factorization.

85856094072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32211 (or 32201 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 85856094072 in words is "eighty-five billion, eight hundred fifty-six million, ninety-four thousand, seventy-two".