13310520224400 has 360 divisors, whose sum is σ = 52959719539584. Its totient is φ = 3032620185600.

The previous prime is 13310520224357. The next prime is 13310520224447. The reversal of 13310520224400 is 442202501331.

13310520224400 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 5 + 20 + 224 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×13310520224400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6988012 + ... + 8686388.

Almost surely, 2^{13310520224400} is an apocalyptic number.

13310520224400 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 13310520224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26479859769792).

13310520224400 is an abundant number, since it is smaller than the sum of its proper divisors (39649199315184).

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

13310520224400 is a wasteful number, since it uses less digits than its factorization.

13310520224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698719 (or 1698705 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13310520224400 its reverse (442202501331), we get a palindrome (13752722725731).

The spelling of 13310520224400 in words is "thirteen trillion, three hundred ten billion, five hundred twenty million, two hundred twenty-four thousand, four hundred".