128256952320 has 288 divisors, whose sum is σ = 508020327360. Its totient is φ = 29315727360.

The previous prime is 128256952297. The next prime is 128256952331. The reversal of 128256952320 is 23259652821.

128256952320 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 569 + 52 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545715 + ... + 744525.

It is an arithmetic number, because the mean of its divisors is an integer number (1763959470).

Almost surely, 2^128256952320 is an apocalyptic number.

128256952320 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 128256952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254010163680).

128256952320 is an abundant number, since it is smaller than the sum of its proper divisors (379763375040).

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

128256952320 is a wasteful number, since it uses less digits than its factorization.

128256952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198851 (or 198828 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 128256952320 in words is "one hundred twenty-eight billion, two hundred fifty-six million, nine hundred fifty-two thousand, three hundred twenty".