5218836480 has 840 divisors, whose sum is σ = 22146735996. Its totient is φ = 1167851520.

The previous prime is 5218836479. The next prime is 5218836509. The reversal of 5218836480 is 846388125.

5218836480 is a `hidden beast` number, since 521 + 8 + 83 + 6 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4857532416 + 361304064 = 69696^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 401448954 + ... + 401448966.

Almost surely, 2^5218836480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5218836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11073367998).

5218836480 is an abundant number, since it is smaller than the sum of its proper divisors (16927899516).

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

5218836480 is a wasteful number, since it uses less digits than its factorization.

5218836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5218836480 is about 72241.5149342814. The cubic root of 5218836480 is about 1734.5675995317.

The spelling of 5218836480 in words is "five billion, two hundred eighteen million, eight hundred thirty-six thousand, four hundred eighty".