56058355584 has 1280 divisors, whose sum is σ = 225212866560. Its totient is φ = 13412044800.

The previous prime is 56058355553. The next prime is 56058355601. The reversal of 56058355584 is 48555385065.

56058355584 is a `hidden beast` number, since 5 + 6 + 0 + 5 + 8 + 3 + 55 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56058355584.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 789554269 + ... + 789554339.

It is an arithmetic number, because the mean of its divisors is an integer number (175947552).

Almost surely, 2^56058355584 is an apocalyptic number.

56058355584 is a gapful number since it is divisible by the number (54) 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 56058355584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112606433280).

56058355584 is an abundant number, since it is smaller than the sum of its proper divisors (169154510976).

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

56058355584 is a wasteful number, since it uses less digits than its factorization.

56058355584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 54.

The spelling of 56058355584 in words is "fifty-six billion, fifty-eight million, three hundred fifty-five thousand, five hundred eighty-four".