5355144000 has 168 divisors, whose sum is σ = 19156500168. Its totient is φ = 1428019200.

The previous prime is 5355143971. The next prime is 5355144013. The reversal of 5355144000 is 4415535.

It can be written as a sum of positive squares in 4 ways, for example, as 1443392064 + 3911751936 = 37992^2 + 62544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34812 + ... + 109188.

Almost surely, 2^5355144000 is an apocalyptic number.

5355144000 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 5355144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9578250084).

5355144000 is an abundant number, since it is smaller than the sum of its proper divisors (13801356168).

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

5355144000 is a wasteful number, since it uses less digits than its factorization.

5355144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74410 (or 74387 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5355144000 is about 73178.8494033624. The cubic root of 5355144000 is about 1749.5393617538.

Adding to 5355144000 its reverse (4415535), we get a palindrome (5359559535).

The spelling of 5355144000 in words is "five billion, three hundred fifty-five million, one hundred forty-four thousand".