129358534086880 has 192 divisors, whose sum is σ = 351670433587200. Its totient is φ = 44046530648064.

The previous prime is 129358534086811. The next prime is 129358534086907. The reversal of 129358534086880 is 88680435853921.

It is a super-2 number, since 2×129358534086880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058458737 + ... + 1058580943.

It is an arithmetic number, because the mean of its divisors is an integer number (1831616841600).

Almost surely, 2^{129358534086880} is an apocalyptic number.

129358534086880 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 129358534086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175835216793600).

129358534086880 is an abundant number, since it is smaller than the sum of its proper divisors (222311899500320).

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

129358534086880 is a wasteful number, since it uses less digits than its factorization.

129358534086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128721 (or 128713 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 70.

The spelling of 129358534086880 in words is "one hundred twenty-nine trillion, three hundred fifty-eight billion, five hundred thirty-four million, eighty-six thousand, eight hundred eighty".