5184864000 has 576 divisors, whose sum is σ = 20318014080. Its totient is φ = 1297612800.

The previous prime is 5184863993. The next prime is 5184864023. The reversal of 5184864000 is 4684815.

5184864000 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14687824 + ... + 14688176.

It is an arithmetic number, because the mean of its divisors is an integer number (35274330).

Almost surely, 2^5184864000 is an apocalyptic number.

5184864000 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 5184864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159007040).

5184864000 is an abundant number, since it is smaller than the sum of its proper divisors (15133150080).

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

5184864000 is a wasteful number, since it uses less digits than its factorization.

5184864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5184864000 is about 72005.9997500208. Note that the first 3 decimals coincide. The cubic root of 5184864000 is about 1730.7956289991.

Adding to 5184864000 its sum of digits (36), we get a square (5184864036 = 72006²).

The spelling of 5184864000 in words is "five billion, one hundred eighty-four million, eight hundred sixty-four thousand".