128120571843264 has 2016 divisors, whose sum is σ = 521228347960320. Its totient is φ = 29238257664000.

The previous prime is 128120571843227. The next prime is 128120571843281. The reversal of 128120571843264 is 462348175021821.

128120571843264 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 0 + 571 + 8 + 4 + 3 + 2 + 64 = 666.

128120571843264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a self number, because there is not a number n which added to its sum of digits gives 128120571843264.

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 287 ways as a sum of consecutive naturals, for example, 13058864919 + ... + 13058874729.

It is an arithmetic number, because the mean of its divisors is an integer number (258545807520).

Almost surely, 2^{128120571843264} is an apocalyptic number.

128120571843264 is a gapful number since it is divisible by the number (14) 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 128120571843264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260614173980160).

128120571843264 is an abundant number, since it is smaller than the sum of its proper divisors (393107776117056).

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

128120571843264 is a wasteful number, since it uses less digits than its factorization.

128120571843264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 128120571843264 in words is "one hundred twenty-eight trillion, one hundred twenty billion, five hundred seventy-one million, eight hundred forty-three thousand, two hundred sixty-four".