56011600 has 60 divisors (see below), whose sum is σ = 142500924. Its totient is φ = 21084160.

The previous prime is 56011589. The next prime is 56011609. The reversal of 56011600 is 611065.

56011600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 300304 + 55711296 = 548^2 + 7464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56011609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2682 + ... + 10918.

Almost surely, 2^56011600 is an apocalyptic number.

56011600 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 56011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71250462).

56011600 is an abundant number, since it is smaller than the sum of its proper divisors (86489324).

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

56011600 is a wasteful number, since it uses less digits than its factorization.

56011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 56011600 is about 7484.0897910167. The cubic root of 56011600 is about 382.6126513994.

Adding to 56011600 its reverse (611065), we get a palindrome (56622665).

The spelling of 56011600 in words is "fifty-six million, eleven thousand, six hundred".