5548607893152 has 288 divisors, whose sum is σ = 16685832683520. Its totient is φ = 1746235169280.

The previous prime is 5548607893123. The next prime is 5548607893177. The reversal of 5548607893152 is 2513987068455.

5548607893152 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 607 + 8 + 9 + 3 + 15 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5548607893152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352799913 + ... + 352815639.

It is an arithmetic number, because the mean of its divisors is an integer number (57936919040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5548607893152 = 11097215786304, but 3⋅5548607893152 = 16645823679456 is not.

Almost surely, 2^{5548607893152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5548607893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342916341760).

5548607893152 is an abundant number, since it is smaller than the sum of its proper divisors (11137224790368).

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

5548607893152 is a wasteful number, since it uses less digits than its factorization.

5548607893152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 5548607893152 in words is "five trillion, five hundred forty-eight billion, six hundred seven million, eight hundred ninety-three thousand, one hundred fifty-two".