85438041856 has 144 divisors (see below), whose sum is σ = 190277627904. Its totient is φ = 38080069632.

The previous prime is 85438041827. The next prime is 85438041859. The reversal of 85438041856 is 65814083458.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85438041859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10305745 + ... + 10314031.

It is an arithmetic number, because the mean of its divisors is an integer number (1321372416).

Almost surely, 2^85438041856 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 85438041856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95138813952).

85438041856 is an abundant number, since it is smaller than the sum of its proper divisors (104839586048).

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

85438041856 is a wasteful number, since it uses less digits than its factorization.

85438041856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 85438041856 in words is "eighty-five billion, four hundred thirty-eight million, forty-one thousand, eight hundred fifty-six".