5117509760 has 256 divisors, whose sum is σ = 13959475200. Its totient is φ = 1777152000.

The previous prime is 5117509759. The next prime is 5117509769. The reversal of 5117509760 is 679057115.

It is a super-2 number, since 2×5117509760² = 52377812287390515200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5117509769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28589351 + ... + 28589529.

It is an arithmetic number, because the mean of its divisors is an integer number (54529200).

Almost surely, 2^5117509760 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 5117509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979737600).

5117509760 is an abundant number, since it is smaller than the sum of its proper divisors (8841965440).

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

5117509760 is a wasteful number, since it uses less digits than its factorization.

5117509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 41.

The square root of 5117509760 is about 71536.7720826150. The cubic root of 5117509760 is about 1723.2682765313.

The spelling of 5117509760 in words is "five billion, one hundred seventeen million, five hundred nine thousand, seven hundred sixty".