13348878400 has 336 divisors, whose sum is σ = 39557968128. Its totient is φ = 4368384000.

The previous prime is 13348878353. The next prime is 13348878451. The reversal of 13348878400 is 487884331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9380089 + ... + 9381511.

It is an arithmetic number, because the mean of its divisors is an integer number (117732048).

Almost surely, 2^13348878400 is an apocalyptic number.

13348878400 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 13348878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19778984064).

13348878400 is an abundant number, since it is smaller than the sum of its proper divisors (26209089728).

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

13348878400 is a wasteful number, since it uses less digits than its factorization.

13348878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 13348878400 in words is "thirteen billion, three hundred forty-eight million, eight hundred seventy-eight thousand, four hundred".