13408665600 has 480 divisors, whose sum is σ = 49928947200. Its totient is φ = 3145728000.

The previous prime is 13408665587. The next prime is 13408665601. The reversal of 13408665600 is 656680431.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408665601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432537585 + ... + 432537615.

It is an arithmetic number, because the mean of its divisors is an integer number (104018640).

Almost surely, 2^13408665600 is an apocalyptic number.

13408665600 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 13408665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964473600).

13408665600 is an abundant number, since it is smaller than the sum of its proper divisors (36520281600).

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

13408665600 is an frugal number, since it uses more digits than its factorization.

13408665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13408665600 in words is "thirteen billion, four hundred eight million, six hundred sixty-five thousand, six hundred".