85882443168 has 96 divisors (see below), whose sum is σ = 229823116992. Its totient is φ = 28071680000.

The previous prime is 85882443149. The next prime is 85882443223. The reversal of 85882443168 is 86134428858.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12263668 + ... + 12270668.

It is an arithmetic number, because the mean of its divisors is an integer number (2393990802).

Almost surely, 2^85882443168 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 85882443168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114911558496).

85882443168 is an abundant number, since it is smaller than the sum of its proper divisors (143940673824).

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

85882443168 is a wasteful number, since it uses less digits than its factorization.

85882443168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478 (or 9470 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 57.

The spelling of 85882443168 in words is "eighty-five billion, eight hundred eighty-two million, four hundred forty-three thousand, one hundred sixty-eight".