56350800 has 180 divisors, whose sum is σ = 213480384. Its totient is φ = 13651200.

The previous prime is 56350787. The next prime is 56350807. The reversal of 56350800 is 805365.

56350800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56350807) 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 35 ways as a sum of consecutive naturals, for example, 38889 + ... + 40311.

Almost surely, 2^56350800 is an apocalyptic number.

56350800 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 56350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106740192).

56350800 is an abundant number, since it is smaller than the sum of its proper divisors (157129584).

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

56350800 is a wasteful number, since it uses less digits than its factorization.

56350800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 56350800 is about 7506.7169921344. The cubic root of 56350800 is about 383.3834507042.

The spelling of 56350800 in words is "fifty-six million, three hundred fifty thousand, eight hundred".