128094774405120 has 288 divisors, whose sum is σ = 448349082559560. Its totient is φ = 33820400025600.

The previous prime is 128094774405119. The next prime is 128094774405151. The reversal of 128094774405120 is 21504477490821.

It is a happy number.

128094774405120 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 9 + 4 + 77 + 440 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125041060094976 + 3053714310144 = 11182176^2 + 1747488^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 2427382 + ... + 16188938.

Almost surely, 2^{128094774405120} is an apocalyptic number.

128094774405120 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 128094774405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224174541279780).

128094774405120 is an abundant number, since it is smaller than the sum of its proper divisors (320254308154440).

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

128094774405120 is a wasteful number, since it uses less digits than its factorization.

128094774405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13761691 (or 13761668 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 128094774405120 in words is "one hundred twenty-eight trillion, ninety-four billion, seven hundred seventy-four million, four hundred five thousand, one hundred twenty".