128706859008 has 1248 divisors, whose sum is σ = 500896032000. Its totient is φ = 32774160384.

The previous prime is 128706858983. The next prime is 128706859051. The reversal of 128706859008 is 800958607821.

It is a tau number, because it is divible by the number of its divisors (1248).

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 95 ways as a sum of consecutive naturals, for example, 4438167538 + ... + 4438167566.

It is an arithmetic number, because the mean of its divisors is an integer number (401359000).

Almost surely, 2^128706859008 is an apocalyptic number.

128706859008 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 128706859008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250448016000).

128706859008 is an abundant number, since it is smaller than the sum of its proper divisors (372189172992).

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

128706859008 is an frugal number, since it uses more digits than its factorization.

128706859008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 128706859008 in words is "one hundred twenty-eight billion, seven hundred six million, eight hundred fifty-nine thousand, eight".