55582560 has 288 divisors, whose sum is σ = 215822880. Its totient is φ = 13009920.

The previous prime is 55582523. The next prime is 55582561. The reversal of 55582560 is 6528555.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55582561) by changing a digit.

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, 1916626 + ... + 1916654.

It is an arithmetic number, because the mean of its divisors is an integer number (749385).

Almost surely, 2^55582560 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 55582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107911440).

55582560 is an abundant number, since it is smaller than the sum of its proper divisors (160240320).

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

55582560 is a wasteful number, since it uses less digits than its factorization.

55582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 55582560 is about 7455.3712181219. The cubic root of 55582560 is about 381.6332289142.

It can be divided in two parts, 5558 and 2560, that added together give a palindrome (8118).

The spelling of 55582560 in words is "fifty-five million, five hundred eighty-two thousand, five hundred sixty".