129396579840 has 1600 divisors, whose sum is σ = 554421086208. Its totient is φ = 28488499200.

The previous prime is 129396579839. The next prime is 129396579853. The reversal of 129396579840 is 48975693921.

129396579840 is a `hidden beast` number, since 1 + 29 + 39 + 6 + 579 + 8 + 4 + 0 = 666.

129396579840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1822487005 + ... + 1822487075.

It is a 1-persistent number, because it is pandigital, but 2⋅129396579840 = 258793159680 is not.

Almost surely, 2^129396579840 is an apocalyptic number.

129396579840 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 129396579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277210543104).

129396579840 is an abundant number, since it is smaller than the sum of its proper divisors (425024506368).

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

129396579840 is a wasteful number, since it uses less digits than its factorization.

129396579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 129396579840 in words is "one hundred twenty-nine billion, three hundred ninety-six million, five hundred seventy-nine thousand, eight hundred forty".