5358484800 has 336 divisors, whose sum is σ = 20386730880. Its totient is φ = 1366548480.

The previous prime is 5358484787. The next prime is 5358484841. The reversal of 5358484800 is 84848535.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990904 + ... + 996296.

Almost surely, 2^5358484800 is an apocalyptic number.

5358484800 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 5358484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10193365440).

5358484800 is an abundant number, since it is smaller than the sum of its proper divisors (15028246080).

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

5358484800 is a wasteful number, since it uses less digits than its factorization.

5358484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5426 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 5358484800 is about 73201.6721120495. The cubic root of 5358484800 is about 1749.9031021178.

It can be divided in two parts, 53584 and 84800, that added together give a square (138384 = 372²).

The spelling of 5358484800 in words is "five billion, three hundred fifty-eight million, four hundred eighty-four thousand, eight hundred".