55166112 has 144 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 17210880.

The previous prime is 55166087. The next prime is 55166141. The reversal of 55166112 is 21166155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330253 + ... + 330419.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^55166112 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 55166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

55166112 is an abundant number, since it is smaller than the sum of its proper divisors (112145760).

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

55166112 is a wasteful number, since it uses less digits than its factorization.

55166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 55166112 is about 7427.3893125378. The cubic root of 55166112 is about 380.6777194887.

It can be divided in two parts, 55166 and 112, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 55166112 in words is "fifty-five million, one hundred sixty-six thousand, one hundred twelve".