129689318400 has 1056 divisors, whose sum is σ = 483450961920. Its totient is φ = 30523392000.

The previous prime is 129689318393. The next prime is 129689318401. The reversal of 129689318400 is 4813986921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129689318401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2126054370 + ... + 2126054430.

Almost surely, 2^129689318400 is an apocalyptic number.

129689318400 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 129689318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241725480960).

129689318400 is an abundant number, since it is smaller than the sum of its proper divisors (353761643520).

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

129689318400 is a wasteful number, since it uses less digits than its factorization.

129689318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 129689318400 in words is "one hundred twenty-nine billion, six hundred eighty-nine million, three hundred eighteen thousand, four hundred".