55200288 has 96 divisors (see below), whose sum is σ = 170275392. Its totient is φ = 15436800.

The previous prime is 55200287. The next prime is 55200289. The reversal of 55200288 is 88200255.

It is an interprime number because it is at equal distance from previous prime (55200287) and next prime (55200289).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55200287) 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, 11718 + ... + 15738.

It is an arithmetic number, because the mean of its divisors is an integer number (1773702).

Almost surely, 2^55200288 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 55200288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85137696).

55200288 is an abundant number, since it is smaller than the sum of its proper divisors (115075104).

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

55200288 is a wasteful number, since it uses less digits than its factorization.

55200288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 55200288 is about 7429.6896301259. The cubic root of 55200288 is about 380.7563145753.

The spelling of 55200288 in words is "fifty-five million, two hundred thousand, two hundred eighty-eight".