5117950656 has 560 divisors, whose sum is σ = 19689429760. Its totient is φ = 1276508160.

The previous prime is 5117950633. The next prime is 5117950697. The reversal of 5117950656 is 6560597115.

5117950656 is a `hidden beast` number, since 511 + 79 + 5 + 0 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8962851 + ... + 8963421.

It is an arithmetic number, because the mean of its divisors is an integer number (35159696).

Almost surely, 2^5117950656 is an apocalyptic number.

5117950656 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 5117950656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9844714880).

5117950656 is an abundant number, since it is smaller than the sum of its proper divisors (14571479104).

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

5117950656 is a wasteful number, since it uses less digits than its factorization.

5117950656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The square root of 5117950656 is about 71539.8536202025. The cubic root of 5117950656 is about 1723.3177641602.

The spelling of 5117950656 in words is "five billion, one hundred seventeen million, nine hundred fifty thousand, six hundred fifty-six".