85942128256 has 128 divisors (see below), whose sum is σ = 185522659200. Its totient is φ = 39534071808.

The previous prime is 85942128247. The next prime is 85942128263. The reversal of 85942128256 is 65282124958.

It is a tau number, because it is divible by the number of its divisors (128).

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, 24159630 + ... + 24163186.

It is an arithmetic number, because the mean of its divisors is an integer number (1449395775).

Almost surely, 2^85942128256 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 85942128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92761329600).

85942128256 is an abundant number, since it is smaller than the sum of its proper divisors (99580530944).

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

85942128256 is a wasteful number, since it uses less digits than its factorization.

85942128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3894 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 52.

The spelling of 85942128256 in words is "eighty-five billion, nine hundred forty-two million, one hundred twenty-eight thousand, two hundred fifty-six".