55111600 has 60 divisors (see below), whose sum is σ = 137000160. Its totient is φ = 21280000.

The previous prime is 55111597. The next prime is 55111601. The reversal of 55111600 is 611155.

It is not an unprimeable number, because it can be changed into a prime (55111601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9225 + ... + 13975.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^55111600 is an apocalyptic number.

55111600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68500080).

55111600 is an abundant number, since it is smaller than the sum of its proper divisors (81888560).

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

55111600 is a wasteful number, since it uses less digits than its factorization.

55111600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 55111600 is about 7423.7187446724. The cubic root of 55111600 is about 380.5522901747.

Adding to 55111600 its reverse (611155), we get a palindrome (55722755).

The spelling of 55111600 in words is "fifty-five million, one hundred eleven thousand, six hundred".