129789987312960 has 1344 divisors, whose sum is σ = 517948793107200. Its totient is φ = 29562802274304.

The previous prime is 129789987312913. The next prime is 129789987312967. The reversal of 129789987312960 is 69213789987921.

129789987312960 is a `hidden beast` number, since 1 + 2 + 97 + 89 + 9 + 87 + 312 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 129789987312960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129789987312967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6589317832 + ... + 6589337528.

It is an arithmetic number, because the mean of its divisors is an integer number (385378566300).

Almost surely, 2^{129789987312960} is an apocalyptic number.

129789987312960 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 129789987312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258974396553600).

129789987312960 is an abundant number, since it is smaller than the sum of its proper divisors (388158805794240).

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

129789987312960 is a wasteful number, since it uses less digits than its factorization.

129789987312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19968 (or 19955 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 81.

The spelling of 129789987312960 in words is "one hundred twenty-nine trillion, seven hundred eighty-nine billion, nine hundred eighty-seven million, three hundred twelve thousand, nine hundred sixty".