5117567616 has 384 divisors, whose sum is σ = 17923276800. Its totient is φ = 1369073664.

The previous prime is 5117567591. The next prime is 5117567627. The reversal of 5117567616 is 6167657115.

5117567616 is a `hidden beast` number, since 511 + 7 + 56 + 76 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19458301 + ... + 19458563.

It is an arithmetic number, because the mean of its divisors is an integer number (46675200).

Almost surely, 2^5117567616 is an apocalyptic number.

5117567616 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 5117567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961638400).

5117567616 is an abundant number, since it is smaller than the sum of its proper divisors (12805709184).

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

5117567616 is a wasteful number, since it uses less digits than its factorization.

5117567616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 5117567616 is about 71537.1764609144. The cubic root of 5117567616 is about 1723.2747706426.

The spelling of 5117567616 in words is "five billion, one hundred seventeen million, five hundred sixty-seven thousand, six hundred sixteen".