56558880 has 288 divisors, whose sum is σ = 228953088. Its totient is φ = 12441600.

The previous prime is 56558869. The next prime is 56558891. The reversal of 56558880 is 8885565.

56558880 is a `hidden beast` number, since 5 + 65 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56558869) and next prime (56558891).

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

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312390 + ... + 312570.

It is an arithmetic number, because the mean of its divisors is an integer number (794976).

Almost surely, 2^56558880 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 56558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114476544).

56558880 is an abundant number, since it is smaller than the sum of its proper divisors (172394208).

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

56558880 is a wasteful number, since it uses less digits than its factorization.

56558880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 56558880 is about 7520.5638086516. The cubic root of 56558880 is about 383.8547627834.

It can be divided in two parts, 5655 and 8880, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 56558880 in words is "fifty-six million, five hundred fifty-eight thousand, eight hundred eighty".