5109635916 has 324 divisors, whose sum is σ = 16987383504. Its totient is φ = 1289312640.

The previous prime is 5109635911. The next prime is 5109635929. The reversal of 5109635916 is 6195369015.

5109635916 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 635 + 9 + 1 + 6 = 666.

It is a super-2 number, since 2×5109635916² = 52216758388154318112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109635911) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7897105 + ... + 7897751.

It is an arithmetic number, because the mean of its divisors is an integer number (52430196).

Almost surely, 2^5109635916 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 5109635916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493691752).

5109635916 is an abundant number, since it is smaller than the sum of its proper divisors (11877747588).

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

5109635916 is a wasteful number, since it uses less digits than its factorization.

5109635916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 5109635916 is about 71481.7173548593. The cubic root of 5109635916 is about 1722.3840111258.

The spelling of 5109635916 in words is "five billion, one hundred nine million, six hundred thirty-five thousand, nine hundred sixteen".