55305600 has 192 divisors, whose sum is σ = 208439040. Its totient is φ = 12625920.

The previous prime is 55305587. The next prime is 55305647. The reversal of 55305600 is 650355.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 66789 + ... + 67611.

It is an arithmetic number, because the mean of its divisors is an integer number (1085620).

Almost surely, 2^55305600 is an apocalyptic number.

55305600 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 55305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104219520).

55305600 is an abundant number, since it is smaller than the sum of its proper divisors (153133440).

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

55305600 is a wasteful number, since it uses less digits than its factorization.

55305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 55305600 is about 7436.7734939287. The cubic root of 55305600 is about 380.9982984334.

Adding to 55305600 its reverse (650355), we get a palindrome (55955955).

The spelling of 55305600 in words is "fifty-five million, three hundred five thousand, six hundred".