129288085872 has 160 divisors (see below), whose sum is σ = 367914023424. Its totient is φ = 38797209600.

The previous prime is 129288085859. The next prime is 129288085873. The reversal of 129288085872 is 278580882921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129288085873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33055597 + ... + 33059507.

Almost surely, 2^129288085872 is an apocalyptic number.

129288085872 is a gapful number since it is divisible by the number (12) 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 129288085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183957011712).

129288085872 is an abundant number, since it is smaller than the sum of its proper divisors (238625937552).

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

129288085872 is a wasteful number, since it uses less digits than its factorization.

129288085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 129288085872 in words is "one hundred twenty-nine billion, two hundred eighty-eight million, eighty-five thousand, eight hundred seventy-two".