128259425664 has 384 divisors, whose sum is σ = 404190259200. Its totient is φ = 38911488000.

The previous prime is 128259425633. The next prime is 128259425741. The reversal of 128259425664 is 466524952821.

128259425664 is a `hidden beast` number, since 1 + 28 + 2 + 59 + 4 + 2 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 128259425664.

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 47 ways as a sum of consecutive naturals, for example, 54554089 + ... + 54556439.

It is an arithmetic number, because the mean of its divisors is an integer number (1052578800).

Almost surely, 2^128259425664 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 128259425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202095129600).

128259425664 is an abundant number, since it is smaller than the sum of its proper divisors (275930833536).

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

128259425664 is a wasteful number, since it uses less digits than its factorization.

128259425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2479 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 128259425664 in words is "one hundred twenty-eight billion, two hundred fifty-nine million, four hundred twenty-five thousand, six hundred sixty-four".