128844085392000 has 1152 divisors, whose sum is σ = 509045395818960. Its totient is φ = 31207587840000.

The previous prime is 128844085391953. The next prime is 128844085392023. The reversal of 128844085392000 is 293580448821.

128844085392000 is a `hidden beast` number, since 1 + 2 + 8 + 84 + 4 + 0 + 8 + 539 + 20 + 0 + 0 = 666.

128844085392000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 568890045504 + 128275195346496 = 754248^2 + 11325864^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25804941504 + ... + 25804946496.

Almost surely, 2^{128844085392000} is an apocalyptic number.

128844085392000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128844085392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254522697909480).

128844085392000 is an abundant number, since it is smaller than the sum of its proper divisors (380201310426960).

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

128844085392000 is a wasteful number, since it uses less digits than its factorization.

128844085392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 128844085392000 in words is "one hundred twenty-eight trillion, eight hundred forty-four billion, eighty-five million, three hundred ninety-two thousand".