13254508800 has 648 divisors, whose sum is σ = 52771566848. Its totient is φ = 3151872000.

The previous prime is 13254508789. The next prime is 13254508801. The reversal of 13254508800 is 880545231.

It is a happy number.

13254508800 is a `hidden beast` number, since 1 + 32 + 545 + 0 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13254508801) 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, 23212515 + ... + 23213085.

Almost surely, 2^13254508800 is an apocalyptic number.

13254508800 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 13254508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385783424).

13254508800 is an abundant number, since it is smaller than the sum of its proper divisors (39517058048).

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

13254508800 is a wasteful number, since it uses less digits than its factorization.

13254508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13254508800 in words is "thirteen billion, two hundred fifty-four million, five hundred eight thousand, eight hundred".