128934813930720 has 576 divisors, whose sum is σ = 476557751255040. Its totient is φ = 29215205203968.

The previous prime is 128934813930679. The next prime is 128934813930731. The reversal of 128934813930720 is 27039318439821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3850277817 + ... + 3850311303.

It is an arithmetic number, because the mean of its divisors is an integer number (827357207040).

Almost surely, 2^{128934813930720} is an apocalyptic number.

128934813930720 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 128934813930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238278875627520).

128934813930720 is an abundant number, since it is smaller than the sum of its proper divisors (347622937324320).

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

128934813930720 is a wasteful number, since it uses less digits than its factorization.

128934813930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34935 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 128934813930720 in words is "one hundred twenty-eight trillion, nine hundred thirty-four billion, eight hundred thirteen million, nine hundred thirty thousand, seven hundred twenty".