13584547680 has 192 divisors, whose sum is σ = 49427739648. Its totient is φ = 3099484160.

The previous prime is 13584547649. The next prime is 13584547709. The reversal of 13584547680 is 8674548531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 14089 + ... + 165431.

It is an arithmetic number, because the mean of its divisors is an integer number (257436144).

Almost surely, 2^13584547680 is an apocalyptic number.

13584547680 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 13584547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24713869824).

13584547680 is an abundant number, since it is smaller than the sum of its proper divisors (35843191968).

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

13584547680 is a wasteful number, since it uses less digits than its factorization.

13584547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151389 (or 151381 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 13584547680 in words is "thirteen billion, five hundred eighty-four million, five hundred forty-seven thousand, six hundred eighty".