128816579430 has 864 divisors, whose sum is σ = 461398339584. Its totient is φ = 24377760000.

The previous prime is 128816579413. The next prime is 128816579443. The reversal of 128816579430 is 34975618821.

128816579430 is a `hidden beast` number, since 1 + 2 + 8 + 81 + 65 + 79 + 430 = 666.

It is a super-2 number, since 2×128816579430² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 853089855 + ... + 853090005.

It is an arithmetic number, because the mean of its divisors is an integer number (534025856).

It is a 1-persistent number, because it is pandigital, but 2⋅128816579430 = 257633158860 is not.

Almost surely, 2^128816579430 is an apocalyptic number.

128816579430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128816579430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699169792).

128816579430 is an abundant number, since it is smaller than the sum of its proper divisors (332581760154).

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

128816579430 is a wasteful number, since it uses less digits than its factorization.

128816579430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 128816579430 in words is "one hundred twenty-eight billion, eight hundred sixteen million, five hundred seventy-nine thousand, four hundred thirty".