55117200 has 120 divisors (see below), whose sum is σ = 184327488. Its totient is φ = 14051840.

The previous prime is 55117159. The next prime is 55117201. The reversal of 55117200 is 271155.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (55117201) 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, 26602 + ... + 28598.

Almost surely, 2^55117200 is an apocalyptic number.

55117200 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 55117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163744).

55117200 is an abundant number, since it is smaller than the sum of its proper divisors (129210288).

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

55117200 is a wasteful number, since it uses less digits than its factorization.

55117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 55117200 is about 7424.0959045530. The cubic root of 55117200 is about 380.5651792981.

Adding to 55117200 its reverse (271155), we get a palindrome (55388355).

The spelling of 55117200 in words is "fifty-five million, one hundred seventeen thousand, two hundred".