13429590000 has 200 divisors, whose sum is σ = 43492640400. Its totient is φ = 3569664000.

The previous prime is 13429589969. The next prime is 13429590001. The reversal of 13429590000 is 9592431.

13429590000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13429590001) 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 39 ways as a sum of consecutive naturals, for example, 13469502 + ... + 13470498.

It is an arithmetic number, because the mean of its divisors is an integer number (217463202).

Almost surely, 2^13429590000 is an apocalyptic number.

13429590000 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 13429590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21746320200).

13429590000 is an abundant number, since it is smaller than the sum of its proper divisors (30063050400).

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

13429590000 is an equidigital number, since it uses as much as digits as its factorization.

13429590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 13429590000 in words is "thirteen billion, four hundred twenty-nine million, five hundred ninety thousand".