55661160 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 14219520.

The previous prime is 55661147. The next prime is 55661171. The reversal of 55661160 is 6116655.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 400371 + ... + 400509.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^55661160 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 55661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

55661160 is an abundant number, since it is smaller than the sum of its proper divisors (118521240).

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

55661160 is a wasteful number, since it uses less digits than its factorization.

55661160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55661160 is about 7460.6407231551. The cubic root of 55661160 is about 381.8130349749.

It can be divided in two parts, 556 and 61160, that added together give a palindrome (61716).

The spelling of 55661160 in words is "fifty-five million, six hundred sixty-one thousand, one hundred sixty".