5806918656 has 528 divisors, whose sum is σ = 21459110400. Its totient is φ = 1499258880.

The previous prime is 5806918631. The next prime is 5806918657. The reversal of 5806918656 is 6568196085.

It is a happy number.

5806918656 is a `hidden beast` number, since 580 + 6 + 9 + 1 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5806918657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34771885 + ... + 34772051.

Almost surely, 2^5806918656 is an apocalyptic number.

5806918656 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 5806918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10729555200).

5806918656 is an abundant number, since it is smaller than the sum of its proper divisors (15652191744).

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

5806918656 is a wasteful number, since it uses less digits than its factorization.

5806918656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 5806918656 is about 76203.1407226763. The cubic root of 5806918656 is about 1797.4159068470.

The spelling of 5806918656 in words is "five billion, eight hundred six million, nine hundred eighteen thousand, six hundred fifty-six".