13395004800 has 192 divisors, whose sum is σ = 44654016960. Its totient is φ = 3528755200.

The previous prime is 13395004783. The next prime is 13395004811. The reversal of 13395004800 is 840059331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 788395 + ... + 805205.

It is an arithmetic number, because the mean of its divisors is an integer number (232573005).

Almost surely, 2^13395004800 is an apocalyptic number.

13395004800 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 13395004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327008480).

13395004800 is an abundant number, since it is smaller than the sum of its proper divisors (31259012160).

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

13395004800 is a wasteful number, since it uses less digits than its factorization.

13395004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16921 (or 16904 counting only the distinct ones).

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

The spelling of 13395004800 in words is "thirteen billion, three hundred ninety-five million, four thousand, eight hundred".