55123200 has 432 divisors, whose sum is σ = 228110400. Its totient is φ = 12902400.

The previous prime is 55123181. The next prime is 55123217. The reversal of 55123200 is 232155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900786 + ... + 1900814.

Almost surely, 2^55123200 is an apocalyptic number.

55123200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 7424×7425.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

55123200 is an abundant number, since it is smaller than the sum of its proper divisors (172987200).

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

55123200 is a wasteful number, since it uses less digits than its factorization.

55123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55123200 is about 7424.4999831638. The cubic root of 55123200 is about 380.5789881045.

Adding to 55123200 its reverse (232155), we get a palindrome (55355355).

The spelling of 55123200 in words is "fifty-five million, one hundred twenty-three thousand, two hundred".