5484024000 has 1344 divisors, whose sum is σ = 25846259712. Its totient is φ = 1119744000.

The previous prime is 5484023977. The next prime is 5484024001. The reversal of 5484024000 is 4204845.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5484024001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176903985 + ... + 176904015.

It is an arithmetic number, because the mean of its divisors is an integer number (19230848).

Almost surely, 2^5484024000 is an apocalyptic number.

5484024000 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 5484024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923129856).

5484024000 is an abundant number, since it is smaller than the sum of its proper divisors (20362235712).

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

5484024000 is a wasteful number, since it uses less digits than its factorization.

5484024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5484024000 is about 74054.1963699560. The cubic root of 5484024000 is about 1763.4633936329.

Adding to 5484024000 its reverse (4204845), we get a palindrome (5488228845).

The spelling of 5484024000 in words is "five billion, four hundred eighty-four million, twenty-four thousand".