5093951616 has 384 divisors, whose sum is σ = 16824553200. Its totient is φ = 1467777024.

The previous prime is 5093951581. The next prime is 5093951641. The reversal of 5093951616 is 6161593905.

5093951616 is a `hidden beast` number, since 509 + 39 + 51 + 61 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1421591616 + 3672360000 = 37704^2 + 60600^2 .

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

It is a super-2 number, since 2×5093951616² = 51896686132298022912, which contains 22 as substring.

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, 16069090 + ... + 16069406.

Almost surely, 2^5093951616 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 5093951616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8412276600).

5093951616 is an abundant number, since it is smaller than the sum of its proper divisors (11730601584).

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

5093951616 is a wasteful number, since it uses less digits than its factorization.

5093951616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

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

The square root of 5093951616 is about 71371.9245642150. The cubic root of 5093951616 is about 1720.6198883374.

The spelling of 5093951616 in words is "five billion, ninety-three million, nine hundred fifty-one thousand, six hundred sixteen".