55035200 has 168 divisors, whose sum is σ = 153070560. Its totient is φ = 19302400.

The previous prime is 55035193. The next prime is 55035257. The reversal of 55035200 is 253055.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932771 + ... + 932829.

Almost surely, 2^55035200 is an apocalyptic number.

55035200 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 55035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76535280).

55035200 is an abundant number, since it is smaller than the sum of its proper divisors (98035360).

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

55035200 is a wasteful number, since it uses less digits than its factorization.

55035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 55035200 is about 7418.5712910236. The cubic root of 55035200 is about 380.3763584271.

Adding to 55035200 its reverse (253055), we get a palindrome (55288255).

It can be divided in two parts, 550 and 35200, that multiplied together give a square (19360000 = 4400²).

The spelling of 55035200 in words is "fifty-five million, thirty-five thousand, two hundred".