128219679986688 has 1408 divisors, whose sum is σ = 431284540538880. Its totient is φ = 37431410688000.

The previous prime is 128219679986681. The next prime is 128219679986693. The reversal of 128219679986688 is 886689976912821.

128219679986688 is a `hidden beast` number, since 1 + 282 + 1 + 96 + 7 + 99 + 86 + 6 + 88 = 666.

128219679986688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 128219679986598 and 128219679986607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128219679986681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42414712345 + ... + 42414715367.

Almost surely, 2^{128219679986688} is an apocalyptic number.

128219679986688 is a gapful number since it is divisible by the number (18) 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 128219679986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215642270269440).

128219679986688 is an abundant number, since it is smaller than the sum of its proper divisors (303064860552192).

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

128219679986688 is a wasteful number, since it uses less digits than its factorization.

128219679986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3188 counting only the distinct ones).

The product of its digits is 18059231232, while the sum is 90.

The spelling of 128219679986688 in words is "one hundred twenty-eight trillion, two hundred nineteen billion, six hundred seventy-nine million, nine hundred eighty-six thousand, six hundred eighty-eight".