6553541913984 has 1536 divisors, whose sum is σ = 22631161512960. Its totient is φ = 1873645240320.

The previous prime is 6553541913917. The next prime is 6553541914033. The reversal of 6553541913984 is 4893191453556.

6553541913984 is a `hidden beast` number, since 6 + 5 + 5 + 3 + 5 + 419 + 139 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39242765869 + ... + 39242766035.

It is an arithmetic number, because the mean of its divisors is an integer number (14733829110).

Almost surely, 2^{6553541913984} is an apocalyptic number.

6553541913984 is a gapful number since it is divisible by the number (64) 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 6553541913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11315580756480).

6553541913984 is an abundant number, since it is smaller than the sum of its proper divisors (16077619598976).

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

6553541913984 is a wasteful number, since it uses less digits than its factorization.

6553541913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 326 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 6553541913984 in words is "six trillion, five hundred fifty-three billion, five hundred forty-one million, nine hundred thirteen thousand, nine hundred eighty-four".