56521600 has 96 divisors (see below), whose sum is σ = 147981600. Its totient is φ = 21258240.

The previous prime is 56521571. The next prime is 56521601. The reversal of 56521600 is 612565.

56521600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56521601) 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, 53881 + ... + 54919.

It is an arithmetic number, because the mean of its divisors is an integer number (1541475).

Almost surely, 2^56521600 is an apocalyptic number.

56521600 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 56521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73990800).

56521600 is an abundant number, since it is smaller than the sum of its proper divisors (91460000).

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

56521600 is a wasteful number, since it uses less digits than its factorization.

56521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 56521600 is about 7518.0848625165. The cubic root of 56521600 is about 383.7704067352.

It can be divided in two parts, 56521 and 600, that added together give a square (57121 = 239²).

The spelling of 56521600 in words is "fifty-six million, five hundred twenty-one thousand, six hundred".