129009676538880 has 264 divisors, whose sum is σ = 447037435163592. Its totient is φ = 34400866861056.

The previous prime is 129009676538861. The next prime is 129009676538891. The reversal of 129009676538880 is 88835676900921.

129009676538880 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 0 + 9 + 6 + 7 + 6 + 538 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28241486889984 + 100768189648896 = 5314272^2 + 10038336^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 129009676538799 and 129009676538808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120469794 + ... + 1120584926.

Almost surely, 2^{129009676538880} is an apocalyptic number.

129009676538880 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 129009676538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223518717581796).

129009676538880 is an abundant number, since it is smaller than the sum of its proper divisors (318027758624712).

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

129009676538880 is a wasteful number, since it uses less digits than its factorization.

129009676538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139481 (or 139460 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 129009676538880 in words is "one hundred twenty-nine trillion, nine billion, six hundred seventy-six million, five hundred thirty-eight thousand, eight hundred eighty".