55586160 has 240 divisors, whose sum is σ = 219360960. Its totient is φ = 12349440.

The previous prime is 55586149. The next prime is 55586161. The reversal of 55586160 is 6168555.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55586161) 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 47 ways as a sum of consecutive naturals, for example, 206506 + ... + 206774.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2^55586160 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 55586160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

55586160 is an abundant number, since it is smaller than the sum of its proper divisors (163774800).

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

55586160 is a wasteful number, since it uses less digits than its factorization.

55586160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55586160 is about 7455.6126508826. The cubic root of 55586160 is about 381.6414680091.

The spelling of 55586160 in words is "fifty-five million, five hundred eighty-six thousand, one hundred sixty".