55663200 has 180 divisors, whose sum is σ = 203229180. Its totient is φ = 14826240.

The previous prime is 55663193. The next prime is 55663213. The reversal of 55663200 is 236655.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 64371 + ... + 65229.

It is an arithmetic number, because the mean of its divisors is an integer number (1129051).

Almost surely, 2^55663200 is an apocalyptic number.

55663200 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 55663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101614590).

55663200 is an abundant number, since it is smaller than the sum of its proper divisors (147565980).

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

55663200 is a wasteful number, since it uses less digits than its factorization.

55663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 55663200 is about 7460.7774393826. Note that the first 3 decimals coincide. The cubic root of 55663200 is about 381.8176994428.

Adding to 55663200 its reverse (236655), we get a palindrome (55899855).

The spelling of 55663200 in words is "fifty-five million, six hundred sixty-three thousand, two hundred".