13255446600 has 288 divisors, whose sum is σ = 49695703200. Its totient is φ = 3138508800.

The previous prime is 13255446593. The next prime is 13255446623. The reversal of 13255446600 is 664455231.

13255446600 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 5 + 4 + 46 + 600 = 666.

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

It is an unprimeable number.

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, 843616 + ... + 859184.

It is an arithmetic number, because the mean of its divisors is an integer number (172554525).

Almost surely, 2^13255446600 is an apocalyptic number.

13255446600 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 13255446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24847851600).

13255446600 is an abundant number, since it is smaller than the sum of its proper divisors (36440256600).

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

13255446600 is a wasteful number, since it uses less digits than its factorization.

13255446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15645 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13255446600 in words is "thirteen billion, two hundred fifty-five million, four hundred forty-six thousand, six hundred".