85843068868928 has 336 divisors, whose sum is σ = 200450895826896. Its totient is φ = 36367179448320.

The previous prime is 85843068868897. The next prime is 85843068868957. The reversal of 85843068868928 is 82986886034858.

85843068868928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 62168304857344 + 23674764011584 = 7884688^2 + 4865672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100166941076 + ... + 100166941932.

Almost surely, 2^{85843068868928} 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 85843068868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100225447913448).

85843068868928 is an abundant number, since it is smaller than the sum of its proper divisors (114607826957968).

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

85843068868928 is a wasteful number, since it uses less digits than its factorization.

85843068868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 10192158720, while the sum is 83.

The spelling of 85843068868928 in words is "eighty-five trillion, eight hundred forty-three billion, sixty-eight million, eight hundred sixty-eight thousand, nine hundred twenty-eight".