129729340800 has 864 divisors, whose sum is σ = 496631182320. Its totient is φ = 33457950720.

The previous prime is 129729340799. The next prime is 129729340823. The reversal of 129729340800 is 8043927921.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 776822317 + ... + 776822483.

Almost surely, 2^129729340800 is an apocalyptic number.

129729340800 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 129729340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248315591160).

129729340800 is an abundant number, since it is smaller than the sum of its proper divisors (366901841520).

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

129729340800 is an frugal number, since it uses more digits than its factorization.

129729340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 129729340800 in words is "one hundred twenty-nine billion, seven hundred twenty-nine million, three hundred forty thousand, eight hundred".