13668555600 has 360 divisors, whose sum is σ = 56220498880. Its totient is φ = 3124085760.

The previous prime is 13668555583. The next prime is 13668555613. The reversal of 13668555600 is 655586631.

13668555600 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 85 + 5 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670356 + ... + 690444.

Almost surely, 2^13668555600 is an apocalyptic number.

13668555600 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 13668555600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28110249440).

13668555600 is an abundant number, since it is smaller than the sum of its proper divisors (42551943280).

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

13668555600 is a wasteful number, since it uses less digits than its factorization.

13668555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20129 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 13668555600 in words is "thirteen billion, six hundred sixty-eight million, five hundred fifty-five thousand, six hundred".