128305001760 has 192 divisors, whose sum is σ = 435467249280. Its totient is φ = 31567011840.

The previous prime is 128305001729. The next prime is 128305001779. The reversal of 128305001760 is 67100503821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17037676 + ... + 17045204.

It is an arithmetic number, because the mean of its divisors is an integer number (2268058590).

Almost surely, 2^128305001760 is an apocalyptic number.

128305001760 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 128305001760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217733624640).

128305001760 is an abundant number, since it is smaller than the sum of its proper divisors (307162247520).

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

128305001760 is a wasteful number, since it uses less digits than its factorization.

128305001760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10291 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 128305001760 in words is "one hundred twenty-eight billion, three hundred five million, one thousand, seven hundred sixty".