129379608576 has 144 divisors (see below), whose sum is σ = 374031665280. Its totient is φ = 43085045760.

The previous prime is 129379608551. The next prime is 129379608607. The reversal of 129379608576 is 675806973921.

129379608576 is a `hidden beast` number, since 1 + 29 + 37 + 9 + 6 + 0 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 23645521 + ... + 23650991.

It is an arithmetic number, because the mean of its divisors is an integer number (2597442120).

Almost surely, 2^129379608576 is an apocalyptic number.

129379608576 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 129379608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187015832640).

129379608576 is an abundant number, since it is smaller than the sum of its proper divisors (244652056704).

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

129379608576 is a wasteful number, since it uses less digits than its factorization.

129379608576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6782 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 129379608576 in words is "one hundred twenty-nine billion, three hundred seventy-nine million, six hundred eight thousand, five hundred seventy-six".