128682807840 has 288 divisors, whose sum is σ = 479365024320. Its totient is φ = 32509154304.

The previous prime is 128682807839. The next prime is 128682807881. The reversal of 128682807840 is 48708286821.

128682807840 is a `hidden beast` number, since 1 + 286 + 8 + 280 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 651622 + ... + 825818.

It is an arithmetic number, because the mean of its divisors is an integer number (1664461890).

Almost surely, 2^128682807840 is an apocalyptic number.

128682807840 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 128682807840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239682512160).

128682807840 is an abundant number, since it is smaller than the sum of its proper divisors (350682216480).

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

128682807840 is a wasteful number, since it uses less digits than its factorization.

128682807840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174246 (or 174226 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 128682807840 in words is "one hundred twenty-eight billion, six hundred eighty-two million, eight hundred seven thousand, eight hundred forty".