129026538436608 has 576 divisors, whose sum is σ = 421191299692800. Its totient is φ = 37808202055680.

The previous prime is 129026538436583. The next prime is 129026538436619. The reversal of 129026538436608 is 806634835620921.

129026538436608 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 2 + 6 + 538 + 4 + 36 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422548435 + ... + 422853677.

It is an arithmetic number, because the mean of its divisors is an integer number (731234895300).

Almost surely, 2^{129026538436608} is an apocalyptic number.

129026538436608 is a gapful number since it is divisible by the number (18) 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 129026538436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210595649846400).

129026538436608 is an abundant number, since it is smaller than the sum of its proper divisors (292164761256192).

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

129026538436608 is a wasteful number, since it uses less digits than its factorization.

129026538436608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305378 (or 305355 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 129026538436608 in words is "one hundred twenty-nine trillion, twenty-six billion, five hundred thirty-eight million, four hundred thirty-six thousand, six hundred eight".