5188844160 has 384 divisors, whose sum is σ = 19075305600. Its totient is φ = 1296801792.

The previous prime is 5188844123. The next prime is 5188844203. The reversal of 5188844160 is 614488815.

5188844160 is a `hidden beast` number, since 518 + 88 + 44 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5188844160² = 53848207433532211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7021071 + ... + 7021809.

It is an arithmetic number, because the mean of its divisors is an integer number (49675275).

Almost surely, 2^5188844160 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 5188844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9537652800).

5188844160 is an abundant number, since it is smaller than the sum of its proper divisors (13886461440).

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

5188844160 is a wasteful number, since it uses less digits than its factorization.

5188844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 5188844160 is about 72033.6321449918. The cubic root of 5188844160 is about 1731.2383973817.

The spelling of 5188844160 in words is "five billion, one hundred eighty-eight million, eight hundred forty-four thousand, one hundred sixty".