129338838720 has 448 divisors, whose sum is σ = 561577175040. Its totient is φ = 27288907776.

The previous prime is 129338838701. The next prime is 129338838721. The reversal of 129338838720 is 27838833921.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (129338838721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703989 + ... + 868491.

It is an arithmetic number, because the mean of its divisors is an integer number (1253520480).

Almost surely, 2^129338838720 is an apocalyptic number.

129338838720 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 129338838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280788587520).

129338838720 is an abundant number, since it is smaller than the sum of its proper divisors (432238336320).

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

129338838720 is a wasteful number, since it uses less digits than its factorization.

129338838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164549 (or 164533 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 129338838720 in words is "one hundred twenty-nine billion, three hundred thirty-eight million, eight hundred thirty-eight thousand, seven hundred twenty".