13885356800 has 216 divisors, whose sum is σ = 39929965152. Its totient is φ = 4681728000.

The previous prime is 13885356787. The next prime is 13885356811. The reversal of 13885356800 is 865358831.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730260 + ... + 2735340.

Almost surely, 2^13885356800 is an apocalyptic number.

13885356800 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 13885356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964982576).

13885356800 is an abundant number, since it is smaller than the sum of its proper divisors (26044608352).

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

13885356800 is an equidigital number, since it uses as much as digits as its factorization.

13885356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 13885356800 in words is "thirteen billion, eight hundred eighty-five million, three hundred fifty-six thousand, eight hundred".