129255036768000 has 2304 divisors, whose sum is σ = 589924929484800. Its totient is φ = 27401379840000.

The previous prime is 129255036767993. The next prime is 129255036768001. The reversal of 129255036768000 is 867630552921.

129255036768000 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 550 + 3 + 6 + 7 + 6 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129255036768001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2347460470 + ... + 2347515530.

It is an arithmetic number, because the mean of its divisors is an integer number (256043806200).

Almost surely, 2^{129255036768000} is an apocalyptic number.

129255036768000 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 129255036768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294962464742400).

129255036768000 is an abundant number, since it is smaller than the sum of its proper divisors (460669892716800).

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

129255036768000 is a wasteful number, since it uses less digits than its factorization.

129255036768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55144 (or 55114 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 129255036768000 in words is "one hundred twenty-nine trillion, two hundred fifty-five billion, thirty-six million, seven hundred sixty-eight thousand".