13240281600 has 960 divisors, whose sum is σ = 59955329280. Its totient is φ = 2786918400.

The previous prime is 13240281563. The next prime is 13240281623. The reversal of 13240281600 is 618204231.

13240281600 is a `hidden beast` number, since 1 + 32 + 4 + 0 + 28 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31449390 + ... + 31449810.

It is an arithmetic number, because the mean of its divisors is an integer number (62453468).

Almost surely, 2^13240281600 is an apocalyptic number.

13240281600 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 13240281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29977664640).

13240281600 is an abundant number, since it is smaller than the sum of its proper divisors (46715047680).

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

13240281600 is a wasteful number, since it uses less digits than its factorization.

13240281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13240281600 its reverse (618204231), we get a palindrome (13858485831).

The spelling of 13240281600 in words is "thirteen billion, two hundred forty million, two hundred eighty-one thousand, six hundred".