56117200 has 60 divisors (see below), whose sum is σ = 135616320. Its totient is φ = 22314880.

The previous prime is 56117189. The next prime is 56117209. The reversal of 56117200 is 271165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56117209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95307 + ... + 95893.

It is an arithmetic number, because the mean of its divisors is an integer number (2260272).

Almost surely, 2^56117200 is an apocalyptic number.

56117200 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 56117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67808160).

56117200 is an abundant number, since it is smaller than the sum of its proper divisors (79499120).

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

56117200 is a wasteful number, since it uses less digits than its factorization.

56117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 56117200 is about 7491.1414350551. The cubic root of 56117200 is about 382.8529500225.

Adding to 56117200 its reverse (271165), we get a palindrome (56388365).

The spelling of 56117200 in words is "fifty-six million, one hundred seventeen thousand, two hundred".