5218668000 has 1152 divisors, whose sum is σ = 24040074240. Its totient is φ = 1082419200.

The previous prime is 5218667969. The next prime is 5218668017. The reversal of 5218668000 is 8668125.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88451971 + ... + 88452029.

It is an arithmetic number, because the mean of its divisors is an integer number (20868120).

Almost surely, 2^5218668000 is an apocalyptic number.

5218668000 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 5218668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

5218668000 is an abundant number, since it is smaller than the sum of its proper divisors (18821406240).

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

5218668000 is a wasteful number, since it uses less digits than its factorization.

5218668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5218668000 is about 72240.3488363671. The cubic root of 5218668000 is about 1734.5489336155.

The spelling of 5218668000 in words is "five billion, two hundred eighteen million, six hundred sixty-eight thousand".