13205210496 has 128 divisors (see below), whose sum is σ = 37319564160. Its totient is φ = 4122746880.

The previous prime is 13205210483. The next prime is 13205210509. The reversal of 13205210496 is 69401250231.

It is an interprime number because it is at equal distance from previous prime (13205210483) and next prime (13205210509).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1372615 + ... + 1382201.

It is an arithmetic number, because the mean of its divisors is an integer number (291559095).

Almost surely, 2^13205210496 is an apocalyptic number.

13205210496 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 13205210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659782080).

13205210496 is an abundant number, since it is smaller than the sum of its proper divisors (24114353664).

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

13205210496 is a wasteful number, since it uses less digits than its factorization.

13205210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9832 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 13205210496 in words is "thirteen billion, two hundred five million, two hundred ten thousand, four hundred ninety-six".