55554400 has 144 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 19673600.

The previous prime is 55554383. The next prime is 55554479. The reversal of 55554400 is 445555.

55554400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 23 ways as a sum of consecutive naturals, for example, 519147 + ... + 519253.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^55554400 is an apocalyptic number.

55554400 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 55554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

55554400 is an abundant number, since it is smaller than the sum of its proper divisors (96310880).

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

55554400 is a wasteful number, since it uses less digits than its factorization.

55554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 55554400 is about 7453.4824075730. The cubic root of 55554400 is about 381.5687686043.

Adding to 55554400 its reverse (445555), we get a palindrome (55999955).

It can be divided in two parts, 55 and 554400, that added together give a palindrome (554455).

The spelling of 55554400 in words is "fifty-five million, five hundred fifty-four thousand, four hundred".