5120608680 has 576 divisors, whose sum is σ = 20167056000. Its totient is φ = 1120711680.

The previous prime is 5120608601. The next prime is 5120608697. The reversal of 5120608680 is 868060215.

It is a happy number.

5120608680 is a `hidden beast` number, since 512 + 0 + 60 + 8 + 6 + 80 = 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, 19035586 + ... + 19035854.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 2^5120608680 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 5120608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528000).

5120608680 is an abundant number, since it is smaller than the sum of its proper divisors (15046447320).

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

5120608680 is a wasteful number, since it uses less digits than its factorization.

5120608680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

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

The square root of 5120608680 is about 71558.4284343920. The cubic root of 5120608680 is about 1723.6160493872.

Adding to 5120608680 its reverse (868060215), we get a palindrome (5988668895).

The spelling of 5120608680 in words is "five billion, one hundred twenty million, six hundred eight thousand, six hundred eighty".