129683824000 has 256 divisors, whose sum is σ = 335106720000. Its totient is φ = 49850572800.

The previous prime is 129683823953. The next prime is 129683824003. The reversal of 129683824000 is 428386921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129683824003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124815481 + ... + 124816519.

It is an arithmetic number, because the mean of its divisors is an integer number (1309010625).

Almost surely, 2^129683824000 is an apocalyptic number.

129683824000 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 129683824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167553360000).

129683824000 is an abundant number, since it is smaller than the sum of its proper divisors (205422896000).

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

129683824000 is a wasteful number, since it uses less digits than its factorization.

129683824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 129683824000 in words is "one hundred twenty-nine billion, six hundred eighty-three million, eight hundred twenty-four thousand".