129720864000 has 1152 divisors, whose sum is σ = 548548116480. Its totient is φ = 26431488000.

The previous prime is 129720863981. The next prime is 129720864061. The reversal of 129720864000 is 468027921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 129720864000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270815761 + ... + 270816239.

It is an arithmetic number, because the mean of its divisors is an integer number (476170240).

Almost surely, 2^129720864000 is an apocalyptic number.

129720864000 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 129720864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274274058240).

129720864000 is an abundant number, since it is smaller than the sum of its proper divisors (418827252480).

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

129720864000 is a wasteful number, since it uses less digits than its factorization.

129720864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 129720864000 in words is "one hundred twenty-nine billion, seven hundred twenty million, eight hundred sixty-four thousand".