13666347520 has 320 divisors, whose sum is σ = 39302055936. Its totient is φ = 4459069440.

The previous prime is 13666347517. The next prime is 13666347523. The reversal of 13666347520 is 2574366631.

It is an interprime number because it is at equal distance from previous prime (13666347517) and next prime (13666347523).

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (13666347523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40552792 + ... + 40553128.

Almost surely, 2^13666347520 is an apocalyptic number.

13666347520 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 13666347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651027968).

13666347520 is an abundant number, since it is smaller than the sum of its proper divisors (25635708416).

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

13666347520 is an equidigital number, since it uses as much as digits as its factorization.

13666347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 13666347520 in words is "thirteen billion, six hundred sixty-six million, three hundred forty-seven thousand, five hundred twenty".