129273604813920 has 768 divisors, whose sum is σ = 488022854860800. Its totient is φ = 28143488655360.

The previous prime is 129273604813891. The next prime is 129273604813961. The reversal of 129273604813920 is 29318406372921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2608454101 + ... + 2608503659.

It is an arithmetic number, because the mean of its divisors is an integer number (635446425600).

Almost surely, 2^{129273604813920} is an apocalyptic number.

129273604813920 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 129273604813920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244011427430400).

129273604813920 is an abundant number, since it is smaller than the sum of its proper divisors (358749250046880).

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

129273604813920 is a wasteful number, since it uses less digits than its factorization.

129273604813920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50011 (or 50003 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 129273604813920 in words is "one hundred twenty-nine trillion, two hundred seventy-three billion, six hundred four million, eight hundred thirteen thousand, nine hundred twenty".