5218609680 has 240 divisors, whose sum is σ = 19245268224. Its totient is φ = 1309685760.

The previous prime is 5218609637. The next prime is 5218609681. The reversal of 5218609680 is 869068125.

5218609680 is a `hidden beast` number, since 521 + 8 + 60 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (5218609681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322585 + ... + 338375.

Almost surely, 2^5218609680 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 5218609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9622634112).

5218609680 is an abundant number, since it is smaller than the sum of its proper divisors (14026658544).

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

5218609680 is a wasteful number, since it uses less digits than its factorization.

5218609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15836 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5218609680 is about 72239.9451827035. The cubic root of 5218609680 is about 1734.5424722432.

It can be divided in two parts, 52186096 and 80, that added together give a square (52186176 = 7224²).

The spelling of 5218609680 in words is "five billion, two hundred eighteen million, six hundred nine thousand, six hundred eighty".