128603395872 has 768 divisors, whose sum is σ = 458691932160. Its totient is φ = 34289049600.

The previous prime is 128603395867. The next prime is 128603395883. The reversal of 128603395872 is 278593306821.

128603395872 is a `hidden beast` number, since 1 + 28 + 6 + 0 + 3 + 39 + 587 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 981705247 + ... + 981705377.

It is an arithmetic number, because the mean of its divisors is an integer number (597255120).

Almost surely, 2^128603395872 is an apocalyptic number.

128603395872 is a gapful number since it is divisible by the number (12) 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 128603395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229345966080).

128603395872 is an abundant number, since it is smaller than the sum of its proper divisors (330088536288).

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

128603395872 is a wasteful number, since it uses less digits than its factorization.

128603395872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 128603395872 in words is "one hundred twenty-eight billion, six hundred three million, three hundred ninety-five thousand, eight hundred seventy-two".