13201228800 has 528 divisors, whose sum is σ = 49344163200. Its totient is φ = 3457843200.

The previous prime is 13201228751. The next prime is 13201228829. The reversal of 13201228800 is 882210231.

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

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, 49075066 + ... + 49075334.

Almost surely, 2^13201228800 is an apocalyptic number.

13201228800 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 13201228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672081600).

13201228800 is an abundant number, since it is smaller than the sum of its proper divisors (36142934400).

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

13201228800 is a wasteful number, since it uses less digits than its factorization.

13201228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 13201228800 in words is "thirteen billion, two hundred one million, two hundred twenty-eight thousand, eight hundred".