5218560000 has 480 divisors, whose sum is σ = 19445025600. Its totient is φ = 1382400000.

The previous prime is 5218559987. The next prime is 5218560001. The reversal of 5218560000 is 658125.

5218560000 is a `hidden beast` number, since 52 + 1 + 8 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5218560001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559925 + ... + 34560075.

It is an arithmetic number, because the mean of its divisors is an integer number (40510470).

Almost surely, 2^5218560000 is an apocalyptic number.

5218560000 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 5218560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722512800).

5218560000 is an abundant number, since it is smaller than the sum of its proper divisors (14226465600).

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

5218560000 is an equidigital number, since it uses as much as digits as its factorization.

5218560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5218560000 is about 72239.6013278036. The cubic root of 5218560000 is about 1734.5369680732.

The spelling of 5218560000 in words is "five billion, two hundred eighteen million, five hundred sixty thousand".