5169943584 has 288 divisors, whose sum is σ = 16566076800. Its totient is φ = 1576599552.

The previous prime is 5169943577. The next prime is 5169943609. The reversal of 5169943584 is 4853499615.

5169943584 is a `hidden beast` number, since 5 + 16 + 9 + 9 + 43 + 584 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5169943584.

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 47 ways as a sum of consecutive naturals, for example, 20116384 + ... + 20116640.

It is an arithmetic number, because the mean of its divisors is an integer number (57521100).

Almost surely, 2^5169943584 is an apocalyptic number.

5169943584 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 5169943584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283038400).

5169943584 is an abundant number, since it is smaller than the sum of its proper divisors (11396133216).

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

5169943584 is a wasteful number, since it uses less digits than its factorization.

5169943584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 5169943584 is about 71902.3197400473. The cubic root of 5169943584 is about 1729.1338045175.

It can be divided in two parts, 5169 and 943584, that added together give a triangular number (948753 = T₁₃₇₇).

The spelling of 5169943584 in words is "five billion, one hundred sixty-nine million, nine hundred forty-three thousand, five hundred eighty-four".