5810345856 has 192 divisors, whose sum is σ = 19178839680. Its totient is φ = 1653986304.

The previous prime is 5810345843. The next prime is 5810345857. The reversal of 5810345856 is 6585430185.

5810345856 is a `hidden beast` number, since 58 + 10 + 3 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5810345857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474475 + ... + 2476821.

It is an arithmetic number, because the mean of its divisors is an integer number (99889790).

Almost surely, 2^5810345856 is an apocalyptic number.

5810345856 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 5810345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589419840).

5810345856 is an abundant number, since it is smaller than the sum of its proper divisors (13368493824).

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

5810345856 is a wasteful number, since it uses less digits than its factorization.

5810345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5810345856 is about 76225.6246678241. The cubic root of 5810345856 is about 1797.7694444502.

The spelling of 5810345856 in words is "five billion, eight hundred ten million, three hundred forty-five thousand, eight hundred fifty-six".