13336012800 has 576 divisors, whose sum is σ = 53499700800. Its totient is φ = 3229286400.

The previous prime is 13336012793. The next prime is 13336012801. The reversal of 13336012800 is 821063331.

It is a happy number.

13336012800 is a `hidden beast` number, since 1 + 3 + 33 + 601 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (13336012801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15205962 + ... + 15206838.

It is an arithmetic number, because the mean of its divisors is an integer number (92881425).

Almost surely, 2^13336012800 is an apocalyptic number.

13336012800 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 13336012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26749850400).

13336012800 is an abundant number, since it is smaller than the sum of its proper divisors (40163688000).

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

13336012800 is a wasteful number, since it uses less digits than its factorization.

13336012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13336012800 in words is "thirteen billion, three hundred thirty-six million, twelve thousand, eight hundred".