56585580 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 14434560.

The previous prime is 56585561. The next prime is 56585593. The reversal of 56585580 is 8558565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157441 + ... + 157799.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^56585580 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 56585580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

56585580 is an abundant number, since it is smaller than the sum of its proper divisors (108887700).

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

56585580 is a wasteful number, since it uses less digits than its factorization.

56585580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The square root of 56585580 is about 7522.3387320700. The cubic root of 56585580 is about 383.9151559514.

The spelling of 56585580 in words is "fifty-six million, five hundred eighty-five thousand, five hundred eighty".