5488943824224 has 768 divisors, whose sum is σ = 19374656716800. Its totient is φ = 1478045657088.

The previous prime is 5488943824213. The next prime is 5488943824253. The reversal of 5488943824224 is 4224283498845.

It is a happy number.

5488943824224 is a `hidden beast` number, since 5 + 48 + 8 + 94 + 3 + 82 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2773593667 + ... + 2773595645.

It is an arithmetic number, because the mean of its divisors is an integer number (25227417600).

Almost surely, 2^{5488943824224} is an apocalyptic number.

5488943824224 is a gapful number since it is divisible by the number (54) 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 5488943824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687328358400).

5488943824224 is an abundant number, since it is smaller than the sum of its proper divisors (13885712892576).

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

5488943824224 is a wasteful number, since it uses less digits than its factorization.

5488943824224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2298 counting only the distinct ones).

The product of its digits is 141557760, while the sum is 63.

The spelling of 5488943824224 in words is "five trillion, four hundred eighty-eight billion, nine hundred forty-three million, eight hundred twenty-four thousand, two hundred twenty-four".