128023680960 has 672 divisors, whose sum is σ = 523904090112. Its totient is φ = 28078202880.

The previous prime is 128023680899. The next prime is 128023680973. The reversal of 128023680960 is 69086320821.

128023680960 is a `hidden beast` number, since 1 + 280 + 2 + 368 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 79369114 + ... + 79370726.

Almost surely, 2^128023680960 is an apocalyptic number.

128023680960 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 128023680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261952045056).

128023680960 is an abundant number, since it is smaller than the sum of its proper divisors (395880409152).

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

128023680960 is a wasteful number, since it uses less digits than its factorization.

128023680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 128023680960 in words is "one hundred twenty-eight billion, twenty-three million, six hundred eighty thousand, nine hundred sixty".