129564610560 has 1664 divisors, whose sum is σ = 611454873600. Its totient is φ = 25197281280.

The previous prime is 129564610537. The next prime is 129564610579. The reversal of 129564610560 is 65016465921.

129564610560 is a `hidden beast` number, since 1 + 29 + 5 + 6 + 4 + 61 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 723824551 + ... + 723824729.

Almost surely, 2^129564610560 is an apocalyptic number.

129564610560 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 129564610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305727436800).

129564610560 is an abundant number, since it is smaller than the sum of its proper divisors (481890263040).

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

129564610560 is a wasteful number, since it uses less digits than its factorization.

129564610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 129564610560 in words is "one hundred twenty-nine billion, five hundred sixty-four million, six hundred ten thousand, five hundred sixty".