129967193081856 has 384 divisors, whose sum is σ = 378880651094400. Its totient is φ = 39376060416000.

The previous prime is 129967193081851. The next prime is 129967193081863. The reversal of 129967193081856 is 658180391769921.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (129967193081851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18564086356 + ... + 18564093356.

It is an arithmetic number, because the mean of its divisors is an integer number (986668362225).

Almost surely, 2^{129967193081856} is an apocalyptic number.

129967193081856 is a gapful number since it is divisible by the number (16) 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 129967193081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189440325547200).

129967193081856 is an abundant number, since it is smaller than the sum of its proper divisors (248913458012544).

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

129967193081856 is a wasteful number, since it uses less digits than its factorization.

129967193081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10575 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 75.

The spelling of 129967193081856 in words is "one hundred twenty-nine trillion, nine hundred sixty-seven billion, one hundred ninety-three million, eighty-one thousand, eight hundred fifty-six".