5810466816 has 624 divisors, whose sum is σ = 22080314880. Its totient is φ = 1427374080.

The previous prime is 5810466787. The next prime is 5810466821. The reversal of 5810466816 is 6186640185.

5810466816 is a `hidden beast` number, since 581 + 0 + 4 + 6 + 68 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65286100 + ... + 65286188.

It is an arithmetic number, because the mean of its divisors is an integer number (35385120).

Almost surely, 2^5810466816 is an apocalyptic number.

5810466816 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 5810466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11040157440).

5810466816 is an abundant number, since it is smaller than the sum of its proper divisors (16269848064).

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

5810466816 is a wasteful number, since it uses less digits than its factorization.

5810466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5810466816 is about 76226.4180976648. The cubic root of 5810466816 is about 1797.7819197078.

The spelling of 5810466816 in words is "five billion, eight hundred ten million, four hundred sixty-six thousand, eight hundred sixteen".