13285826400 has 576 divisors, whose sum is σ = 57101345280. Its totient is φ = 2597683200.

The previous prime is 13285826381. The next prime is 13285826423. The reversal of 13285826400 is 462858231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3139486 + ... + 3143714.

It is an arithmetic number, because the mean of its divisors is an integer number (99134280).

Almost surely, 2^13285826400 is an apocalyptic number.

13285826400 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 13285826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28550672640).

13285826400 is an abundant number, since it is smaller than the sum of its proper divisors (43815518880).

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

13285826400 is a wasteful number, since it uses less digits than its factorization.

13285826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 13285826400 in words is "thirteen billion, two hundred eighty-five million, eight hundred twenty-six thousand, four hundred".