13254460800 has 576 divisors, whose sum is σ = 53493451200. Its totient is φ = 2868203520.

The previous prime is 13254460789. The next prime is 13254460801. The reversal of 13254460800 is 806445231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254460801) 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 71 ways as a sum of consecutive naturals, for example, 8936859 + ... + 8938341.

It is an arithmetic number, because the mean of its divisors is an integer number (92870575).

Almost surely, 2^13254460800 is an apocalyptic number.

13254460800 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 13254460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746725600).

13254460800 is an abundant number, since it is smaller than the sum of its proper divisors (40238990400).

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

13254460800 is a wasteful number, since it uses less digits than its factorization.

13254460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 13254460800 in words is "thirteen billion, two hundred fifty-four million, four hundred sixty thousand, eight hundred".