55643200 has 84 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 21936640.

The previous prime is 55643143. The next prime is 55643207. The reversal of 55643200 is 234655.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (55643207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132591 + ... + 133009.

It is an arithmetic number, because the mean of its divisors is an integer number (1653540).

Almost surely, 2^55643200 is an apocalyptic number.

55643200 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 55643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

55643200 is an abundant number, since it is smaller than the sum of its proper divisors (83254160).

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

55643200 is a wasteful number, since it uses less digits than its factorization.

55643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 55643200 is about 7459.4369760727. The cubic root of 55643200 is about 381.7719644464.

Adding to 55643200 its reverse (234655), we get a palindrome (55877855).

The spelling of 55643200 in words is "fifty-five million, six hundred forty-three thousand, two hundred".