55334400 has 240 divisors, whose sum is σ = 200933568. Its totient is φ = 13312000.

The previous prime is 55334399. The next prime is 55334417. The reversal of 55334400 is 443355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422335 + ... + 422465.

Almost surely, 2^55334400 is an apocalyptic number.

55334400 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 55334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100466784).

55334400 is an abundant number, since it is smaller than the sum of its proper divisors (145599168).

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

55334400 is a wasteful number, since it uses less digits than its factorization.

55334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 55334400 is about 7438.7095655093. The cubic root of 55334400 is about 381.0644210135.

Adding to 55334400 its reverse (443355), we get a palindrome (55777755).

The spelling of 55334400 in words is "fifty-five million, three hundred thirty-four thousand, four hundred".