85268896128 has 256 divisors, whose sum is σ = 274847731200. Its totient is φ = 25866086400.

The previous prime is 85268896121. The next prime is 85268896133. The reversal of 85268896128 is 82169886258.

85268896128 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 8 + 8 + 9 + 612 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85268896121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3176523 + ... + 3203253.

It is an arithmetic number, because the mean of its divisors is an integer number (1073623950).

Almost surely, 2^85268896128 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 85268896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137423865600).

85268896128 is an abundant number, since it is smaller than the sum of its proper divisors (189578835072).

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

85268896128 is a wasteful number, since it uses less digits than its factorization.

85268896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26838 (or 26820 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 63.

The spelling of 85268896128 in words is "eighty-five billion, two hundred sixty-eight million, eight hundred ninety-six thousand, one hundred twenty-eight".