128856835800 has 768 divisors, whose sum is σ = 566306611200. Its totient is φ = 26149132800.

The previous prime is 128856835787. The next prime is 128856835819. The reversal of 128856835800 is 8538658821.

It is a happy number.

128856835800 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 56 + 8 + 3 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17875797 + ... + 17883003.

It is an arithmetic number, because the mean of its divisors is an integer number (737378400).

Almost surely, 2^128856835800 is an apocalyptic number.

128856835800 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 128856835800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283153305600).

128856835800 is an abundant number, since it is smaller than the sum of its proper divisors (437449775400).

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

128856835800 is a wasteful number, since it uses less digits than its factorization.

128856835800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 128856835800 in words is "one hundred twenty-eight billion, eight hundred fifty-six million, eight hundred thirty-five thousand, eight hundred".