129605935680 has 392 divisors, whose sum is σ = 498330379512. Its totient is φ = 31902253056.

The previous prime is 129605935643. The next prime is 129605935681. The reversal of 129605935680 is 86539506921.

It is a happy number.

129605935680 is a `hidden beast` number, since 1 + 29 + 6 + 0 + 59 + 3 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7615005696 + 121990929984 = 87264^2 + 349272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (129605935681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3011272 + ... + 3054008.

Almost surely, 2^129605935680 is an apocalyptic number.

129605935680 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 129605935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249165189756).

129605935680 is an abundant number, since it is smaller than the sum of its proper divisors (368724443832).

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

129605935680 is an equidigital number, since it uses as much as digits as its factorization.

129605935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42785 (or 42760 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 129605935680 in words is "one hundred twenty-nine billion, six hundred five million, nine hundred thirty-five thousand, six hundred eighty".