56271600 has 540 divisors, whose sum is σ = 256356360. Its totient is φ = 11289600.

The previous prime is 56271587. The next prime is 56271601. The reversal of 56271600 is 617265.

56271600 = 18³ + 19³ + ... + 122³.

56271600 is a `hidden beast` number, since 56 + 2 + 7 + 1 + 600 = 666.

56271600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56271601) 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 107 ways as a sum of consecutive naturals, for example, 1940386 + ... + 1940414.

It is an arithmetic number, because the mean of its divisors is an integer number (474734).

Almost surely, 2^56271600 is an apocalyptic number.

56271600 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 56271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128178180).

56271600 is an abundant number, since it is smaller than the sum of its proper divisors (200084760).

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

56271600 is a wasteful number, since it uses less digits than its factorization.

56271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56271600 is about 7501.4398617865. The cubic root of 56271600 is about 383.2037537242.

Adding to 56271600 its reverse (617265), we get a palindrome (56888865).

It can be divided in two parts, 5627 and 1600, that added together give a palindrome (7227).

The spelling of 56271600 in words is "fifty-six million, two hundred seventy-one thousand, six hundred".