13055400960 has 704 divisors, whose sum is σ = 50935910400. Its totient is φ = 2791047168.

The previous prime is 13055400913. The next prime is 13055400961. The reversal of 13055400960 is 6900455031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055400961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165258201 + ... + 165258279.

Almost surely, 2^13055400960 is an apocalyptic number.

13055400960 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 13055400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467955200).

13055400960 is an abundant number, since it is smaller than the sum of its proper divisors (37880509440).

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

13055400960 is a wasteful number, since it uses less digits than its factorization.

13055400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 13055400960 its reverse (6900455031), we get a palindrome (19955855991).

The spelling of 13055400960 in words is "thirteen billion, fifty-five million, four hundred thousand, nine hundred sixty".