129608962560 has 960 divisors, whose sum is σ = 572984755200. Its totient is φ = 26289930240.

The previous prime is 129608962537. The next prime is 129608962577. The reversal of 129608962560 is 65269806921.

It is a happy number.

129608962560 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 0 + 8 + 9 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 129608962497 and 129608962506.

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, 76284591 + ... + 76286289.

It is an arithmetic number, because the mean of its divisors is an integer number (596859120).

Almost surely, 2^129608962560 is an apocalyptic number.

129608962560 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 129608962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286492377600).

129608962560 is an abundant number, since it is smaller than the sum of its proper divisors (443375792640).

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

129608962560 is a wasteful number, since it uses less digits than its factorization.

129608962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129608962560 in words is "one hundred twenty-nine billion, six hundred eight million, nine hundred sixty-two thousand, five hundred sixty".