128018338560 has 648 divisors, whose sum is σ = 529348039584. Its totient is φ = 27979776000.

The previous prime is 128018338531. The next prime is 128018338579. The reversal of 128018338560 is 65833810821.

128018338560 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 1 + 83 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42657060 + ... + 42660060.

Almost surely, 2^128018338560 is an apocalyptic number.

128018338560 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 128018338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264674019792).

128018338560 is an abundant number, since it is smaller than the sum of its proper divisors (401329701024).

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

128018338560 is a wasteful number, since it uses less digits than its factorization.

128018338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 128018338560 in words is "one hundred twenty-eight billion, eighteen million, three hundred thirty-eight thousand, five hundred sixty".