55655600 has 240 divisors, whose sum is σ = 180821760. Its totient is φ = 15897600.

The previous prime is 55655599. The next prime is 55655623. The reversal of 55655600 is 655655.

It is a super-2 number, since 2×55655600² = 6195091622720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400331 + ... + 400469.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 2^55655600 is an apocalyptic number.

55655600 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 55655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

55655600 is an abundant number, since it is smaller than the sum of its proper divisors (125166160).

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

55655600 is a wasteful number, since it uses less digits than its factorization.

55655600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The square root of 55655600 is about 7460.2680916975. The cubic root of 55655600 is about 381.8003214349.

Subtracting from 55655600 its reverse (655655), we obtain a palindrome (54999945).

It can be divided in two parts, 556 and 55600, that multiplied together give a square (30913600 = 5560²).

The spelling of 55655600 in words is "fifty-five million, six hundred fifty-five thousand, six hundred".