13378816000 has 192 divisors, whose sum is σ = 36428071680. Its totient is φ = 4864000000.

The previous prime is 13378815997. The next prime is 13378816037. The reversal of 13378816000 is 61887331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2813625 + ... + 2818375.

It is an arithmetic number, because the mean of its divisors is an integer number (189729540).

Almost surely, 2^13378816000 is an apocalyptic number.

13378816000 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 13378816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214035840).

13378816000 is an abundant number, since it is smaller than the sum of its proper divisors (23049255680).

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

13378816000 is an equidigital number, since it uses as much as digits as its factorization.

13378816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 13378816000 in words is "thirteen billion, three hundred seventy-eight million, eight hundred sixteen thousand".