5817812616 has 288 divisors, whose sum is σ = 20839291200. Its totient is φ = 1431302400.

The previous prime is 5817812593. The next prime is 5817812621. The reversal of 5817812616 is 6162187185.

5817812616 is a `hidden beast` number, since 5 + 8 + 17 + 8 + 12 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156186 + ... + 1161206.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 2^5817812616 is an apocalyptic number.

5817812616 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 5817812616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419645600).

5817812616 is an abundant number, since it is smaller than the sum of its proper divisors (15021478584).

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

5817812616 is a wasteful number, since it uses less digits than its factorization.

5817812616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5063 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 5817812616 is about 76274.5869605336. The cubic root of 5817812616 is about 1798.5392074050.

The spelling of 5817812616 in words is "five billion, eight hundred seventeen million, eight hundred twelve thousand, six hundred sixteen".