128844669327360 has 768 divisors, whose sum is σ = 479061692928000. Its totient is φ = 28953491668992.

The previous prime is 128844669327323. The next prime is 128844669327383. The reversal of 128844669327360 is 63723966448821.

It is a tau number, because it is divible by the number of its divisors (768).

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, 7535208091 + ... + 7535225189.

It is an arithmetic number, because the mean of its divisors is an integer number (623778246000).

Almost surely, 2^{128844669327360} is an apocalyptic number.

128844669327360 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 128844669327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239530846464000).

128844669327360 is an abundant number, since it is smaller than the sum of its proper divisors (350217023600640).

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

128844669327360 is a wasteful number, since it uses less digits than its factorization.

128844669327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17726 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 128844669327360 in words is "one hundred twenty-eight trillion, eight hundred forty-four billion, six hundred sixty-nine million, three hundred twenty-seven thousand, three hundred sixty".