128235200068800 has 336 divisors, whose sum is σ = 509961600547200. Its totient is φ = 31087321113600.

The previous prime is 128235200068721. The next prime is 128235200068903. The reversal of 128235200068800 is 8860002532821.

128235200068800 is a `hidden beast` number, since 1 + 28 + 23 + 520 + 0 + 0 + 6 + 8 + 80 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134452410 + ... + 135402809.

Almost surely, 2^{128235200068800} is an apocalyptic number.

128235200068800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128235200068800 is an abundant number, since it is smaller than the sum of its proper divisors (381726400478400).

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

128235200068800 is a wasteful number, since it uses less digits than its factorization.

128235200068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269855261 (or 269855240 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 128235200068800 in words is "one hundred twenty-eight trillion, two hundred thirty-five billion, two hundred million, sixty-eight thousand, eight hundred".