55666800 has 270 divisors, whose sum is σ = 225573608. Its totient is φ = 12453120.

The previous prime is 55666771. The next prime is 55666813. The reversal of 55666800 is 866655.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 1184377 + ... + 1184423.

Almost surely, 2^55666800 is an apocalyptic number.

55666800 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 55666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112786804).

55666800 is an abundant number, since it is smaller than the sum of its proper divisors (169906808).

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

55666800 is a wasteful number, since it uses less digits than its factorization.

55666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55666800 is about 7461.0186972021. The cubic root of 55666800 is about 381.8259305787.

The spelling of 55666800 in words is "fifty-five million, six hundred sixty-six thousand, eight hundred".