12829929840 has 240 divisors, whose sum is σ = 53030647488. Its totient is φ = 2706960384.

The previous prime is 12829929811. The next prime is 12829929883. The reversal of 12829929840 is 4892992821.

12829929840 is a `hidden beast` number, since 1 + 28 + 299 + 298 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32389 + ... + 163428.

Almost surely, 2^12829929840 is an apocalyptic number.

12829929840 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 12829929840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26515323744).

12829929840 is an abundant number, since it is smaller than the sum of its proper divisors (40200717648).

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

12829929840 is a wasteful number, since it uses less digits than its factorization.

12829929840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195856 (or 195847 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 12829929840 in words is "twelve billion, eight hundred twenty-nine million, nine hundred twenty-nine thousand, eight hundred forty".