129116728829088 has 1920 divisors, whose sum is σ = 533241441976320. Its totient is φ = 29542738452480.

The previous prime is 129116728829047. The next prime is 129116728829129. The reversal of 129116728829088 is 880928827611921.

129116728829088 is a `hidden beast` number, since 1 + 2 + 9 + 116 + 72 + 88 + 290 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (129116728829047) and next prime (129116728829129).

It is a super-2 number, since 2×129116728829088² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28584617806 + ... + 28584622322.

It is an arithmetic number, because the mean of its divisors is an integer number (277729917696).

Almost surely, 2^{129116728829088} is an apocalyptic number.

129116728829088 is a gapful number since it is divisible by the number (18) 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 129116728829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266620720988160).

129116728829088 is an abundant number, since it is smaller than the sum of its proper divisors (404124713147232).

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

129116728829088 is a wasteful number, since it uses less digits than its factorization.

129116728829088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 129116728829088 in words is "one hundred twenty-nine trillion, one hundred sixteen billion, seven hundred twenty-eight million, eight hundred twenty-nine thousand, eighty-eight".