5218002228600 has 576 divisors, whose sum is σ = 21165709816800. Its totient is φ = 1192681324800.

The previous prime is 5218002228563. The next prime is 5218002228623. The reversal of 5218002228600 is 68222008125.

5218002228600 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 0 + 0 + 22 + 28 + 600 = 666.

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 143 ways as a sum of consecutive naturals, for example, 21310870 + ... + 21554330.

Almost surely, 2^{5218002228600} is an apocalyptic number.

5218002228600 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 5218002228600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582854908400).

5218002228600 is an abundant number, since it is smaller than the sum of its proper divisors (15947707588200).

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

5218002228600 is a wasteful number, since it uses less digits than its factorization.

5218002228600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243512 (or 243478 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5218002228600 in words is "five trillion, two hundred eighteen billion, two million, two hundred twenty-eight thousand, six hundred".