5658368000 has 288 divisors, whose sum is σ = 15224358240. Its totient is φ = 2095104000.

The previous prime is 5658367993. The next prime is 5658368003. The reversal of 5658368000 is 8638565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5658368003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182527985 + ... + 182528015.

It is an arithmetic number, because the mean of its divisors is an integer number (52862355).

Almost surely, 2^5658368000 is an apocalyptic number.

5658368000 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 5658368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612179120).

5658368000 is an abundant number, since it is smaller than the sum of its proper divisors (9565990240).

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

5658368000 is an equidigital number, since it uses as much as digits as its factorization.

5658368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 5658368000 is about 75222.1244049914. The cubic root of 5658368000 is about 1781.9563559502.

The spelling of 5658368000 in words is "five billion, six hundred fifty-eight million, three hundred sixty-eight thousand".