129785032960 has 288 divisors, whose sum is σ = 361454026752. Its totient is φ = 44176957440.

The previous prime is 129785032943. The next prime is 129785032963. The reversal of 129785032960 is 69230587921.

It is a junction number, because it is equal to n+sod(n) for n = 129785032898 and 129785032907.

It is not an unprimeable number, because it can be changed into a prime (129785032963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15216217 + ... + 15224743.

It is an arithmetic number, because the mean of its divisors is an integer number (1255048704).

Almost surely, 2^129785032960 is an apocalyptic number.

129785032960 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 129785032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180727013376).

129785032960 is an abundant number, since it is smaller than the sum of its proper divisors (231668993792).

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

129785032960 is a wasteful number, since it uses less digits than its factorization.

129785032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 129785032960 in words is "one hundred twenty-nine billion, seven hundred eighty-five million, thirty-two thousand, nine hundred sixty".