56205120 has 112 divisors (see below), whose sum is σ = 180246528. Its totient is φ = 14837760.

The previous prime is 56205119. The next prime is 56205131. The reversal of 56205120 is 2150265.

56205120 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 121690 + ... + 122150.

It is an arithmetic number, because the mean of its divisors is an integer number (1609344).

Almost surely, 2^56205120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123264).

56205120 is an abundant number, since it is smaller than the sum of its proper divisors (124041408).

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

56205120 is a wasteful number, since it uses less digits than its factorization.

56205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 56205120 is about 7497.0074029575. The cubic root of 56205120 is about 383.0527869579.

Adding to 56205120 its reverse (2150265), we get a palindrome (58355385).

The spelling of 56205120 in words is "fifty-six million, two hundred five thousand, one hundred twenty".