129971865014880 has 384 divisors, whose sum is σ = 477655663564800. Its totient is φ = 29694912952320.

The previous prime is 129971865014867. The next prime is 129971865014917. The reversal of 129971865014880 is 88410568179921.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 380312242 + ... + 380653838.

It is an arithmetic number, because the mean of its divisors is an integer number (1243894957200).

Almost surely, 2^{129971865014880} is an apocalyptic number.

129971865014880 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 129971865014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238827831782400).

129971865014880 is an abundant number, since it is smaller than the sum of its proper divisors (347683798549920).

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

129971865014880 is a wasteful number, since it uses less digits than its factorization.

129971865014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343947 (or 343925 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 69.

The spelling of 129971865014880 in words is "one hundred twenty-nine trillion, nine hundred seventy-one billion, eight hundred sixty-five million, fourteen thousand, eight hundred eighty".