128289051072 has 448 divisors, whose sum is σ = 474999669760. Its totient is φ = 33045884928.

The previous prime is 128289051041. The next prime is 128289051083. The reversal of 128289051072 is 270150982821.

128289051072 is a `hidden beast` number, since 1 + 28 + 28 + 90 + 510 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6752178 + ... + 6771150.

It is an arithmetic number, because the mean of its divisors is an integer number (1060267120).

Almost surely, 2^128289051072 is an apocalyptic number.

128289051072 is a gapful number since it is divisible by the number (12) 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 128289051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237499834880).

128289051072 is an abundant number, since it is smaller than the sum of its proper divisors (346710618688).

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

128289051072 is a wasteful number, since it uses less digits than its factorization.

128289051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19057 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 128289051072 in words is "one hundred twenty-eight billion, two hundred eighty-nine million, fifty-one thousand, seventy-two".