55666560 has 128 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 14616576.

The previous prime is 55666543. The next prime is 55666577. The reversal of 55666560 is 6566655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55666543) and next prime (55666577).

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 151497 + ... + 151863.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^55666560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

55666560 is an abundant number, since it is smaller than the sum of its proper divisors (124506240).

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

55666560 is a wasteful number, since it uses less digits than its factorization.

55666560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 55666560 is about 7461.0026135902. The cubic root of 55666560 is about 381.8253818473.

Subtracting from 55666560 its sum of digits (39), we obtain a square (55666521 = 7461²).

The spelling of 55666560 in words is "fifty-five million, six hundred sixty-six thousand, five hundred sixty".