56505600 has 270 divisors, whose sum is σ = 210843710. Its totient is φ = 14929920.

The previous prime is 56505557. The next prime is 56505607. The reversal of 56505600 is 650565.

56505600 is a `hidden beast` number, since 5 + 6 + 50 + 5 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6718464 + 49787136 = 2592^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56505607) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 518346 + ... + 518454.

Almost surely, 2^56505600 is an apocalyptic number.

56505600 is a gapful number since it is divisible by the number (50) 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 56505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105421855).

56505600 is an abundant number, since it is smaller than the sum of its proper divisors (154338110).

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

56505600 is a wasteful number, since it uses less digits than its factorization.

56505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 56505600 is about 7517.0206864156. The cubic root of 56505600 is about 383.7341910466.

The spelling of 56505600 in words is "fifty-six million, five hundred five thousand, six hundred".