129908208109680 has 960 divisors, whose sum is σ = 585859632583680. Its totient is φ = 24913557504000.

The previous prime is 129908208109651. The next prime is 129908208109699. The reversal of 129908208109680 is 86901802809921.

It is a super-2 number, since 2×129908208109680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7040704455 + ... + 7040722905.

It is an arithmetic number, because the mean of its divisors is an integer number (610270450608).

Almost surely, 2^{129908208109680} is an apocalyptic number.

129908208109680 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 129908208109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292929816291840).

129908208109680 is an abundant number, since it is smaller than the sum of its proper divisors (455951424474000).

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

129908208109680 is a wasteful number, since it uses less digits than its factorization.

129908208109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28270 (or 28261 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 129908208109680 in words is "one hundred twenty-nine trillion, nine hundred eight billion, two hundred eight million, one hundred nine thousand, six hundred eighty".