55666600 has 48 divisors (see below), whose sum is σ = 141196320. Its totient is φ = 20241600.

The previous prime is 55666577. The next prime is 55666613. The reversal of 55666600 is 666655.

55666600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

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 11 ways as a sum of consecutive naturals, for example, 10452 + ... + 14851.

It is an arithmetic number, because the mean of its divisors is an integer number (2941590).

Almost surely, 2^55666600 is an apocalyptic number.

55666600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55666600 is an abundant number, since it is smaller than the sum of its proper divisors (85529720).

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

55666600 is a wasteful number, since it uses less digits than its factorization.

55666600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25330 (or 25321 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 55666600 is about 7461.0052941946. The cubic root of 55666600 is about 381.8254733027.

Subtracting from 55666600 its reverse (666655), we obtain a palindrome (54999945).

The spelling of 55666600 in words is "fifty-five million, six hundred sixty-six thousand, six hundred".