5345361200 has 240 divisors, whose sum is σ = 14207424000. Its totient is φ = 1924715520.

The previous prime is 5345361191. The next prime is 5345361223. The reversal of 5345361200 is 21635435.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 17411447 + ... + 17411753.

It is an arithmetic number, because the mean of its divisors is an integer number (59197600).

Almost surely, 2^5345361200 is an apocalyptic number.

5345361200 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 5345361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712000).

5345361200 is an abundant number, since it is smaller than the sum of its proper divisors (8862062800).

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

5345361200 is a wasteful number, since it uses less digits than its factorization.

5345361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 5345361200 is about 73111.9771309736. The cubic root of 5345361200 is about 1748.4733570291.

Adding to 5345361200 its reverse (21635435), we get a palindrome (5366996635).

The spelling of 5345361200 in words is "five billion, three hundred forty-five million, three hundred sixty-one thousand, two hundred".