55580985 has 80 divisors (see below), whose sum is σ = 108725760. Its totient is φ = 27060480.

The previous prime is 55580981. The next prime is 55580999. The reversal of 55580985 is 58908555.

55580985 is a `hidden beast` number, since 5 + 558 + 0 + 98 + 5 = 666.

It is not a de Polignac number, because 55580985 - 2² = 55580981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 55580985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55580981) 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 79 ways as a sum of consecutive naturals, for example, 238429 + ... + 238661.

It is an arithmetic number, because the mean of its divisors is an integer number (1359072).

Almost surely, 2^55580985 is an apocalyptic number.

It is an amenable number.

55580985 is a deficient number, since it is larger than the sum of its proper divisors (53144775).

55580985 is a wasteful number, since it uses less digits than its factorization.

55580985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The square root of 55580985 is about 7455.2655888305. The cubic root of 55580985 is about 381.6296241983.

It can be divided in two parts, 55580 and 985, that added together give a palindrome (56565).

The spelling of 55580985 in words is "fifty-five million, five hundred eighty thousand, nine hundred eighty-five".