129130985088 has 768 divisors, whose sum is σ = 470567485440. Its totient is φ = 33174282240.

The previous prime is 129130985069. The next prime is 129130985089. The reversal of 129130985088 is 880589031921.

129130985088 is a `hidden beast` number, since 12 + 9 + 1 + 30 + 98 + 508 + 8 = 666.

It is a super-2 number, since 2×129130985088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129130985089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212736081 + ... + 212736687.

It is an arithmetic number, because the mean of its divisors is an integer number (612718080).

Almost surely, 2^129130985088 is an apocalyptic number.

129130985088 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 129130985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235283742720).

129130985088 is an abundant number, since it is smaller than the sum of its proper divisors (341436500352).

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

129130985088 is a wasteful number, since it uses less digits than its factorization.

129130985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 129130985088 in words is "one hundred twenty-nine billion, one hundred thirty million, nine hundred eighty-five thousand, eighty-eight".