128164279680 has 384 divisors, whose sum is σ = 461401855200. Its totient is φ = 32741130240.

The previous prime is 128164279679. The next prime is 128164279781. The reversal of 128164279680 is 86972461821.

It is a happy number.

128164279680 is a `hidden beast` number, since 128 + 1 + 6 + 427 + 96 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21879312 + ... + 21885168.

Almost surely, 2^128164279680 is an apocalyptic number.

128164279680 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 128164279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230700927600).

128164279680 is an abundant number, since it is smaller than the sum of its proper divisors (333237575520).

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

128164279680 is a wasteful number, since it uses less digits than its factorization.

128164279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6027 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 128164279680 in words is "one hundred twenty-eight billion, one hundred sixty-four million, two hundred seventy-nine thousand, six hundred eighty".