56005920 has 288 divisors, whose sum is σ = 212284800. Its totient is φ = 13381632.

The previous prime is 56005919. The next prime is 56005949. The reversal of 56005920 is 2950065.

56005920 is a `hidden beast` number, since 5 + 600 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629236 + ... + 629324.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^56005920 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 56005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

56005920 is an abundant number, since it is smaller than the sum of its proper divisors (156278880).

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

56005920 is a wasteful number, since it uses less digits than its factorization.

56005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56005920 is about 7483.7103097327. The cubic root of 56005920 is about 382.5997176897.

Adding to 56005920 its reverse (2950065), we get a palindrome (58955985).

The spelling of 56005920 in words is "fifty-six million, five thousand, nine hundred twenty".