5705890560 has 288 divisors, whose sum is σ = 20450465280. Its totient is φ = 1506373632.

The previous prime is 5705890559. The next prime is 5705890573. The reversal of 5705890560 is 650985075.

5705890560 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 89 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5705890560² = 65114374165394227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3697149 + ... + 3698691.

It is an arithmetic number, because the mean of its divisors is an integer number (71008560).

Almost surely, 2^5705890560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5705890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225232640).

5705890560 is an abundant number, since it is smaller than the sum of its proper divisors (14744574720).

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

5705890560 is a wasteful number, since it uses less digits than its factorization.

5705890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5705890560 is about 75537.3454656702. The cubic root of 5705890560 is about 1786.9311209745.

The spelling of 5705890560 in words is "five billion, seven hundred five million, eight hundred ninety thousand, five hundred sixty".