13291843680 has 288 divisors, whose sum is σ = 48194546400. Its totient is φ = 3326386176.

The previous prime is 13291843679. The next prime is 13291843693. The reversal of 13291843680 is 8634819231.

13291843680 is a `hidden beast` number, since 132 + 9 + 1 + 8 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2980012 + ... + 2984468.

It is an arithmetic number, because the mean of its divisors is an integer number (167342175).

Almost surely, 2^13291843680 is an apocalyptic number.

13291843680 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 13291843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097273200).

13291843680 is an abundant number, since it is smaller than the sum of its proper divisors (34902702720).

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

13291843680 is a wasteful number, since it uses less digits than its factorization.

13291843680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13291843680 in words is "thirteen billion, two hundred ninety-one million, eight hundred forty-three thousand, six hundred eighty".