129168824928 has 288 divisors, whose sum is σ = 411652233216. Its totient is φ = 34962048000.

The previous prime is 129168824893. The next prime is 129168824963. The reversal of 129168824928 is 829428861921.

It is an interprime number because it is at equal distance from previous prime (129168824893) and next prime (129168824963).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13187713 + ... + 13197503.

It is an arithmetic number, because the mean of its divisors is an integer number (1429348032).

Almost surely, 2^129168824928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129168824928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205826116608).

129168824928 is an abundant number, since it is smaller than the sum of its proper divisors (282483408288).

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

129168824928 is a wasteful number, since it uses less digits than its factorization.

129168824928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9851 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 60.

The spelling of 129168824928 in words is "one hundred twenty-nine billion, one hundred sixty-eight million, eight hundred twenty-four thousand, nine hundred twenty-eight".