129605665008960 has 672 divisors, whose sum is σ = 514548342577152. Its totient is φ = 29329416990720.

The previous prime is 129605665008931. The next prime is 129605665009003. The reversal of 129605665008960 is 69800566506921.

129605665008960 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 0 + 5 + 66 + 500 + 8 + 9 + 60 = 666.

129605665008960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 3716700325 + ... + 3716735195.

Almost surely, 2^{129605665008960} is an apocalyptic number.

129605665008960 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 129605665008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257274171288576).

129605665008960 is an abundant number, since it is smaller than the sum of its proper divisors (384942677568192).

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

129605665008960 is a wasteful number, since it uses less digits than its factorization.

129605665008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36731 (or 36718 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 129605665008960 in words is "one hundred twenty-nine trillion, six hundred five billion, six hundred sixty-five million, eight thousand, nine hundred sixty".