128509426080 has 576 divisors, whose sum is σ = 520097760000. Its totient is φ = 28271738880.

The previous prime is 128509426079. The next prime is 128509426139. The reversal of 128509426080 is 80624905821.

128509426080 is a `hidden beast` number, since 1 + 2 + 8 + 509 + 4 + 2 + 60 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 145867240 + ... + 145868120.

It is an arithmetic number, because the mean of its divisors is an integer number (902947500).

Almost surely, 2^128509426080 is an apocalyptic number.

128509426080 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 128509426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048880000).

128509426080 is an abundant number, since it is smaller than the sum of its proper divisors (391588333920).

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

128509426080 is a wasteful number, since it uses less digits than its factorization.

128509426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1426 counting only the distinct ones).

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

The spelling of 128509426080 in words is "one hundred twenty-eight billion, five hundred nine million, four hundred twenty-six thousand, eighty".