128385782784 has 660 divisors, whose sum is σ = 460816709760. Its totient is φ = 35463536640.

The previous prime is 128385782779. The next prime is 128385782809. The reversal of 128385782784 is 487287583821.

128385782784 is a `hidden beast` number, since 1 + 2 + 8 + 38 + 578 + 27 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125991427 + ... + 125992445.

It is an arithmetic number, because the mean of its divisors is an integer number (698207136).

Almost surely, 2^128385782784 is an apocalyptic number.

128385782784 is a gapful number since it is divisible by the number (14) 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 128385782784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230408354880).

128385782784 is an abundant number, since it is smaller than the sum of its proper divisors (332430926976).

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

128385782784 is a wasteful number, since it uses less digits than its factorization.

128385782784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1062 counting only the distinct ones).

The product of its digits is 48168960, while the sum is 63.

The spelling of 128385782784 in words is "one hundred twenty-eight billion, three hundred eighty-five million, seven hundred eighty-two thousand, seven hundred eighty-four".