13423536000 has 1024 divisors, whose sum is σ = 59269017600. Its totient is φ = 2919628800.

The previous prime is 13423535947. The next prime is 13423536013. The reversal of 13423536000 is 63532431.

It is a happy number.

13423536000 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 53 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69551904 + ... + 69552096.

It is an arithmetic number, because the mean of its divisors is an integer number (57879900).

Almost surely, 2^13423536000 is an apocalyptic number.

13423536000 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 13423536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29634508800).

13423536000 is an abundant number, since it is smaller than the sum of its proper divisors (45845481600).

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

13423536000 is a wasteful number, since it uses less digits than its factorization.

13423536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 13423536000 in words is "thirteen billion, four hundred twenty-three million, five hundred thirty-six thousand".