55255200 has 576 divisors, whose sum is σ = 251983872. Its totient is φ = 10137600.

The previous prime is 55255199. The next prime is 55255201. The reversal of 55255200 is 255255.

It is an interprime number because it is at equal distance from previous prime (55255199) and next prime (55255201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55255201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402389 + ... + 2402411.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^55255200 is an apocalyptic number.

55255200 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 55255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936).

55255200 is an abundant number, since it is smaller than the sum of its proper divisors (196728672).

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

55255200 is a wasteful number, since it uses less digits than its factorization.

55255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 55255200 is about 7433.3841552822. The cubic root of 55255200 is about 380.8825286608.

Subtracting from 55255200 its reverse (255255), we obtain a palindrome (54999945).

It can be divided in two parts, 55255 and 200, that added together give a palindrome (55455).

The spelling of 55255200 in words is "fifty-five million, two hundred fifty-five thousand, two hundred".