55200320 has 112 divisors (see below), whose sum is σ = 158252160. Its totient is φ = 17915904.

The previous prime is 55200319. The next prime is 55200329. The reversal of 55200320 is 2300255.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×55200320⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (55200329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41912 + ... + 43208.

Almost surely, 2^55200320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79126080).

55200320 is an abundant number, since it is smaller than the sum of its proper divisors (103051840).

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

55200320 is a wasteful number, since it uses less digits than its factorization.

55200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 55200320 is about 7429.6917836476. The cubic root of 55200320 is about 380.7563881510.

Adding to 55200320 its reverse (2300255), we get a palindrome (57500575).

The spelling of 55200320 in words is "fifty-five million, two hundred thousand, three hundred twenty".