55032900 has 144 divisors (see below), whose sum is σ = 174405504. Its totient is φ = 13317120.

The previous prime is 55032851. The next prime is 55032917. The reversal of 55032900 is 923055.

55032900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401632 + ... + 401768.

Almost surely, 2^55032900 is an apocalyptic number.

55032900 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 55032900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87202752).

55032900 is an abundant number, since it is smaller than the sum of its proper divisors (119372604).

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

55032900 is a wasteful number, since it uses less digits than its factorization.

55032900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 55032900 is about 7418.4162730329. The cubic root of 55032900 is about 380.3710595287.

Adding to 55032900 its reverse (923055), we get a palindrome (55955955).

The spelling of 55032900 in words is "fifty-five million, thirty-two thousand, nine hundred".