5006542848 has 192 divisors, whose sum is σ = 14152320000. Its totient is φ = 1570652160.

The previous prime is 5006542837. The next prime is 5006542859. The reversal of 5006542848 is 8482456005.

It is an interprime number because it is at equal distance from previous prime (5006542837) and next prime (5006542859).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5006542848² = 50130942577719902208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10032903 + ... + 10033401.

It is an arithmetic number, because the mean of its divisors is an integer number (73710000).

Almost surely, 2^5006542848 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 5006542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160000).

5006542848 is an abundant number, since it is smaller than the sum of its proper divisors (9145777152).

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

5006542848 is a wasteful number, since it uses less digits than its factorization.

5006542848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 5006542848 is about 70756.9279152225. The cubic root of 5006542848 is about 1710.7214957504.

The spelling of 5006542848 in words is "five billion, six million, five hundred forty-two thousand, eight hundred forty-eight".