55180800 has 180 divisors, whose sum is σ = 197889120. Its totient is φ = 14684160.

The previous prime is 55180799. The next prime is 55180843. The reversal of 55180800 is 808155.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114961 + ... + 115439.

It is an arithmetic number, because the mean of its divisors is an integer number (1099384).

Almost surely, 2^55180800 is an apocalyptic number.

55180800 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 55180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944560).

55180800 is an abundant number, since it is smaller than the sum of its proper divisors (142708320).

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

55180800 is a wasteful number, since it uses less digits than its factorization.

55180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 55180800 is about 7428.3780194602. The cubic root of 55180800 is about 380.7115016905.

Adding to 55180800 its reverse (808155), we get a palindrome (55988955).

The spelling of 55180800 in words is "fifty-five million, one hundred eighty thousand, eight hundred".