5184242009856 has 2160 divisors, whose sum is σ = 20638693152000. Its totient is φ = 1289604685824.

The previous prime is 5184242009839. The next prime is 5184242009867. The reversal of 5184242009856 is 6589002424815.

5184242009856 is a `hidden beast` number, since 5 + 1 + 8 + 424 + 200 + 9 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×5184242009856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 22838070415 + ... + 22838070641.

Almost surely, 2^{5184242009856} is an apocalyptic number.

5184242009856 is a gapful number since it is divisible by the number (56) 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 5184242009856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319346576000).

5184242009856 is an abundant number, since it is smaller than the sum of its proper divisors (15454451142144).

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

5184242009856 is a wasteful number, since it uses less digits than its factorization.

5184242009856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5184242009856 in words is "five trillion, one hundred eighty-four billion, two hundred forty-two million, nine thousand, eight hundred fifty-six".