55332400 has 60 divisors (see below), whose sum is σ = 136069912. Its totient is φ = 21611520.

The previous prime is 55332391. The next prime is 55332413. The reversal of 55332400 is 423355.

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 11 ways as a sum of consecutive naturals, for example, 15592 + ... + 18808.

Almost surely, 2^55332400 is an apocalyptic number.

55332400 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 55332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68034956).

55332400 is an abundant number, since it is smaller than the sum of its proper divisors (80737512).

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

55332400 is a wasteful number, since it uses less digits than its factorization.

55332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 55332400 is about 7438.5751323758. The cubic root of 55332400 is about 381.0598299090.

Adding to 55332400 its reverse (423355), we get a palindrome (55755755).

The spelling of 55332400 in words is "fifty-five million, three hundred thirty-two thousand, four hundred".