129564769536 has 432 divisors, whose sum is σ = 401357943168. Its totient is φ = 41654476800.

The previous prime is 129564769531. The next prime is 129564769613. The reversal of 129564769536 is 635967465921.

129564769536 is a `hidden beast` number, since 1 + 2 + 9 + 56 + 47 + 6 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (73483200) is a multiple of the sum of its prime factors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129564769531) 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 47 ways as a sum of consecutive naturals, for example, 416606821 + ... + 416607131.

Almost surely, 2^129564769536 is an apocalyptic number.

129564769536 is a gapful number since it is divisible by the number (16) 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 129564769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200678971584).

129564769536 is an abundant number, since it is smaller than the sum of its proper divisors (271793173632).

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

129564769536 is an equidigital number, since it uses as much as digits as its factorization.

129564769536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 534 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 129564769536 in words is "one hundred twenty-nine billion, five hundred sixty-four million, seven hundred sixty-nine thousand, five hundred thirty-six".