128305106203824 has 480 divisors, whose sum is σ = 412786664407040. Its totient is φ = 38118091968000.

The previous prime is 128305106203793. The next prime is 128305106203831. The reversal of 128305106203824 is 428302601503821.

128305106203824 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 5 + 10 + 620 + 3 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 128305106203824.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 978832209 + ... + 978963279.

Almost surely, 2^{128305106203824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128305106203824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206393332203520).

128305106203824 is an abundant number, since it is smaller than the sum of its proper divisors (284481558203216).

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

128305106203824 is a wasteful number, since it uses less digits than its factorization.

128305106203824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131478 (or 131455 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 128305106203824 in words is "one hundred twenty-eight trillion, three hundred five billion, one hundred six million, two hundred three thousand, eight hundred twenty-four".