13200066367488 has 3328 divisors, whose sum is σ = 55800918835200. Its totient is φ = 2974199316480.

The previous prime is 13200066367487. The next prime is 13200066367559. The reversal of 13200066367488 is 88476366000231.

13200066367488 is a `hidden beast` number, since 13 + 200 + 0 + 66 + 367 + 4 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13200066367487) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 223729938403 + ... + 223729938461.

Almost surely, 2^{13200066367488} is an apocalyptic number.

13200066367488 is a gapful number since it is divisible by the number (18) 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 13200066367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27900459417600).

13200066367488 is an abundant number, since it is smaller than the sum of its proper divisors (42600852467712).

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

13200066367488 is a wasteful number, since it uses less digits than its factorization.

13200066367488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13200066367488 in words is "thirteen trillion, two hundred billion, sixty-six million, three hundred sixty-seven thousand, four hundred eighty-eight".