55057184 has 144 divisors (see below), whose sum is σ = 141370488. Its totient is φ = 20901888.

The previous prime is 55057181. The next prime is 55057187. The reversal of 55057184 is 48175055.

It is an interprime number because it is at equal distance from previous prime (55057181) and next prime (55057187).

It can be written as a sum of positive squares in 4 ways, for example, as 49392784 + 5664400 = 7028^2 + 2380^2 .

It is not an unprimeable number, because it can be changed into a prime (55057181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754172 + ... + 754244.

Almost surely, 2^55057184 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 55057184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70685244).

55057184 is an abundant number, since it is smaller than the sum of its proper divisors (86313304).

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

55057184 is a wasteful number, since it uses less digits than its factorization.

55057184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 55057184 is about 7420.0528300006. The cubic root of 55057184 is about 380.4269992332.

The spelling of 55057184 in words is "fifty-five million, fifty-seven thousand, one hundred eighty-four".