55046560 has 48 divisors (see below), whose sum is σ = 130977000. Its totient is φ = 21861376.

The previous prime is 55046549. The next prime is 55046581. The reversal of 55046560 is 6564055.

55046560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 12588304 = 6516^2 + 3548^2 .

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 7 ways as a sum of consecutive naturals, for example, 22686 + ... + 24994.

Almost surely, 2^55046560 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 55046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65488500).

55046560 is an abundant number, since it is smaller than the sum of its proper divisors (75930440).

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

55046560 is a wasteful number, since it uses less digits than its factorization.

55046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 55046560 is about 7419.3368975940. The cubic root of 55046560 is about 380.4025282127.

The spelling of 55046560 in words is "fifty-five million, forty-six thousand, five hundred sixty".