55112080 has 40 divisors (see below), whose sum is σ = 129904632. Its totient is φ = 21740544.

The previous prime is 55112063. The next prime is 55112081. The reversal of 55112080 is 8021155.

It can be written as a sum of positive squares in 4 ways, for example, as 7997584 + 47114496 = 2828^2 + 6864^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (55112081) 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 7 ways as a sum of consecutive naturals, for example, 1122 + ... + 10558.

Almost surely, 2^55112080 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 55112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64952316).

55112080 is an abundant number, since it is smaller than the sum of its proper divisors (74792552).

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

55112080 is a wasteful number, since it uses less digits than its factorization.

55112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 55112080 is about 7423.7510734130. The cubic root of 55112080 is about 380.5533949909.

It can be divided in two parts, 551120 and 80, that multiplied together give a square (44089600 = 6640²).

The spelling of 55112080 in words is "fifty-five million, one hundred twelve thousand, eighty".