55211584 has 56 divisors (see below), whose sum is σ = 114638328. Its totient is φ = 26357760.

The previous prime is 55211561. The next prime is 55211593. The reversal of 55211584 is 48511255.

It can be written as a sum of positive squares in 4 ways, for example, as 5198400 + 50013184 = 2280^2 + 7072^2 .

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 7 ways as a sum of consecutive naturals, for example, 138874 + ... + 139270.

It is an arithmetic number, because the mean of its divisors is an integer number (2047113).

Almost surely, 2^55211584 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 55211584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57319164).

55211584 is an abundant number, since it is smaller than the sum of its proper divisors (59426744).

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

55211584 is a wasteful number, since it uses less digits than its factorization.

55211584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its digits is 8000, while the sum is 31.

The square root of 55211584 is about 7430.4497845016. The cubic root of 55211584 is about 380.7822850314.

The spelling of 55211584 in words is "fifty-five million, two hundred eleven thousand, five hundred eighty-four".