128361728320 has 224 divisors, whose sum is σ = 355011630336. Its totient is φ = 43296768000.

The previous prime is 128361728311. The next prime is 128361728323. The reversal of 128361728320 is 23827163821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128361728323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88463595 + ... + 88465045.

Almost surely, 2^128361728320 is an apocalyptic number.

128361728320 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 128361728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177505815168).

128361728320 is an abundant number, since it is smaller than the sum of its proper divisors (226649902016).

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

128361728320 is a wasteful number, since it uses less digits than its factorization.

128361728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 128361728320 in words is "one hundred twenty-eight billion, three hundred sixty-one million, seven hundred twenty-eight thousand, three hundred twenty".