55656000 has 168 divisors, whose sum is σ = 199348344. Its totient is φ = 14822400.

The previous prime is 55655953. The next prime is 55656001. The reversal of 55656000 is 65655.

55656000 is a `hidden beast` number, since 5 + 5 + 656 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11778624 + 43877376 = 3432^2 + 6624^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55656001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 71614 + ... + 72386.

Almost surely, 2^55656000 is an apocalyptic number.

55656000 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 55656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99674172).

55656000 is an abundant number, since it is smaller than the sum of its proper divisors (143692344).

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

55656000 is a wasteful number, since it uses less digits than its factorization.

55656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55656000 is about 7460.2949003374. The cubic root of 55656000 is about 381.8012361063.

The spelling of 55656000 in words is "fifty-five million, six hundred fifty-six thousand".