5168518656 has 160 divisors (see below), whose sum is σ = 15803631360. Its totient is φ = 1470406656.

The previous prime is 5168518631. The next prime is 5168518661. The reversal of 5168518656 is 6568158615.

It is a happy number.

It is a super-3 number, since 3×5168518656³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5168518599 and 5168518608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891395 + ... + 2893181.

It is an arithmetic number, because the mean of its divisors is an integer number (98772696).

Almost surely, 2^5168518656 is an apocalyptic number.

5168518656 is a gapful number since it is divisible by the number (56) 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 5168518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901815680).

5168518656 is an abundant number, since it is smaller than the sum of its proper divisors (10635112704).

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

5168518656 is a wasteful number, since it uses less digits than its factorization.

5168518656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2068 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 51.

The square root of 5168518656 is about 71892.4102809191. The cubic root of 5168518656 is about 1728.9749299551.

The spelling of 5168518656 in words is "five billion, one hundred sixty-eight million, five hundred eighteen thousand, six hundred fifty-six".