129200782870848 has 672 divisors, whose sum is σ = 382562001976320. Its totient is φ = 38449454284800.

The previous prime is 129200782870801. The next prime is 129200782870879. The reversal of 129200782870848 is 848078287002921.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30931475736 + ... + 30931479912.

Almost surely, 2^{129200782870848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129200782870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191281000988160).

129200782870848 is an abundant number, since it is smaller than the sum of its proper divisors (253361219105472).

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

129200782870848 is a wasteful number, since it uses less digits than its factorization.

129200782870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 129200782870848 in words is "one hundred twenty-nine trillion, two hundred billion, seven hundred eighty-two million, eight hundred seventy thousand, eight hundred forty-eight".