5817791616 has 256 divisors, whose sum is σ = 19678982400. Its totient is φ = 1481195520.

The previous prime is 5817791593. The next prime is 5817791627. The reversal of 5817791616 is 6161977185.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010506 + ... + 1016246.

It is an arithmetic number, because the mean of its divisors is an integer number (76871025).

Almost surely, 2^5817791616 is an apocalyptic number.

5817791616 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 5817791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839491200).

5817791616 is an abundant number, since it is smaller than the sum of its proper divisors (13861190784).

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

5817791616 is a wasteful number, since it uses less digits than its factorization.

5817791616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807 (or 5795 counting only the distinct ones).

The product of its digits is 635040, while the sum is 51.

The square root of 5817791616 is about 76274.4492998802. The cubic root of 5817791616 is about 1798.5370433975.

The spelling of 5817791616 in words is "five billion, eight hundred seventeen million, seven hundred ninety-one thousand, six hundred sixteen".