13423852800 has 324 divisors, whose sum is σ = 50820145740. Its totient is φ = 3368878080.

The previous prime is 13423852787. The next prime is 13423852801. The reversal of 13423852800 is 825832431.

13423852800 is a `hidden beast` number, since 1 + 342 + 38 + 5 + 280 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 580617216 + 12843235584 = 24096^2 + 113328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423852801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 972346 + ... + 986054.

Almost surely, 2^13423852800 is an apocalyptic number.

13423852800 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 13423852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410072870).

13423852800 is an abundant number, since it is smaller than the sum of its proper divisors (37396292940).

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

13423852800 is a wasteful number, since it uses less digits than its factorization.

13423852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13758 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13423852800 in words is "thirteen billion, four hundred twenty-three million, eight hundred fifty-two thousand, eight hundred".