85944578112 has 168 divisors, whose sum is σ = 261692745600. Its totient is φ = 26891025408.

The previous prime is 85944578087. The next prime is 85944578129. The reversal of 85944578112 is 21187544958.

85944578112 is a `hidden beast` number, since 8 + 59 + 4 + 4 + 578 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156873 + ... + 1228919.

Almost surely, 2^85944578112 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 85944578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130846372800).

85944578112 is an abundant number, since it is smaller than the sum of its proper divisors (175748167488).

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

85944578112 is a wasteful number, since it uses less digits than its factorization.

85944578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72193 (or 72180 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 85944578112 in words is "eighty-five billion, nine hundred forty-four million, five hundred seventy-eight thousand, one hundred twelve".