13543743006720 has 384 divisors, whose sum is σ = 48261887856000. Its totient is φ = 3602804244480.

The previous prime is 13543743006653. The next prime is 13543743006733. The reversal of 13543743006720 is 2760034734531.

13543743006720 is a `hidden beast` number, since 1 + 3 + 543 + 7 + 4 + 30 + 0 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113020435 + ... + 113140205.

It is an arithmetic number, because the mean of its divisors is an integer number (125681999625).

Almost surely, 2^{13543743006720} is an apocalyptic number.

13543743006720 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 13543743006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130943928000).

13543743006720 is an abundant number, since it is smaller than the sum of its proper divisors (34718144849280).

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

13543743006720 is a wasteful number, since it uses less digits than its factorization.

13543743006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120216 (or 120190 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 13543743006720 in words is "thirteen trillion, five hundred forty-three billion, seven hundred forty-three million, six thousand, seven hundred twenty".