55112400 has 300 divisors, whose sum is σ = 226980512. Its totient is φ = 12597120.

The previous prime is 55112399. The next prime is 55112411. The reversal of 55112400 is 421155.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 7873197 + ... + 7873203.

Almost surely, 2^55112400 is an apocalyptic number.

55112400 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 55112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490256).

55112400 is an abundant number, since it is smaller than the sum of its proper divisors (171868112).

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

55112400 is an frugal number, since it uses more digits than its factorization.

55112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55112400 is about 7423.7726258285. The cubic root of 55112400 is about 380.5541315315.

Adding to 55112400 its reverse (421155), we get a palindrome (55533555).

The spelling of 55112400 in words is "fifty-five million, one hundred twelve thousand, four hundred".