128003629600 has 576 divisors, whose sum is σ = 409725775872. Its totient is φ = 37863936000.

The previous prime is 128003629591. The next prime is 128003629601. The reversal of 128003629600 is 6926300821.

It is a self number, because there is not a number n which added to its sum of digits gives 128003629600.

It is not an unprimeable number, because it can be changed into a prime (128003629601) by changing a digit.

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, 236605330 + ... + 236605870.

It is an arithmetic number, because the mean of its divisors is an integer number (711329472).

Almost surely, 2^128003629600 is an apocalyptic number.

128003629600 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 128003629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204862887936).

128003629600 is an abundant number, since it is smaller than the sum of its proper divisors (281722146272).

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

128003629600 is a wasteful number, since it uses less digits than its factorization.

128003629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 128003629600 in words is "one hundred twenty-eight billion, three million, six hundred twenty-nine thousand, six hundred".