128320096320 has 1568 divisors, whose sum is σ = 554089092480. Its totient is φ = 27948810240.

The previous prime is 128320096319. The next prime is 128320096363. The reversal of 128320096320 is 23690023821.

128320096320 is a `hidden beast` number, since 1 + 2 + 8 + 320 + 0 + 9 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 979542655 + ... + 979542785.

Almost surely, 2^128320096320 is an apocalyptic number.

128320096320 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 128320096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277044546240).

128320096320 is an abundant number, since it is smaller than the sum of its proper divisors (425768996160).

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

128320096320 is a wasteful number, since it uses less digits than its factorization.

128320096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 128320096320 in words is "one hundred twenty-eight billion, three hundred twenty million, ninety-six thousand, three hundred twenty".