5143824000 has 864 divisors, whose sum is σ = 22314073860. Its totient is φ = 1175731200.

The previous prime is 5143823981. The next prime is 5143824053. The reversal of 5143824000 is 4283415.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3477225024 + 1666598976 = 58968^2 + 40824^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 107 ways as a sum of consecutive naturals, for example, 734831997 + ... + 734832003.

Almost surely, 2^5143824000 is an apocalyptic number.

5143824000 is a gapful number since it is divisible by the number (50) 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 5143824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11157036930).

5143824000 is an abundant number, since it is smaller than the sum of its proper divisors (17170249860).

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

5143824000 is an frugal number, since it uses more digits than its factorization.

5143824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5143824000 is about 71720.4573326188. The cubic root of 5143824000 is about 1726.2169106980.

The spelling of 5143824000 in words is "five billion, one hundred forty-three million, eight hundred twenty-four thousand".