55588680 has 384 divisors, whose sum is σ = 230630400. Its totient is φ = 11757312.

The previous prime is 55588667. The next prime is 55588681. The reversal of 55588680 is 8688555.

55588680 is a `hidden beast` number, since 5 + 5 + 588 + 68 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (55588681) 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 95 ways as a sum of consecutive naturals, for example, 1292739 + ... + 1292781.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 2^55588680 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 55588680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115315200).

55588680 is an abundant number, since it is smaller than the sum of its proper divisors (175041720).

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

55588680 is a wasteful number, since it uses less digits than its factorization.

55588680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 55588680 is about 7455.7816491633. The cubic root of 55588680 is about 381.6472351639.

The spelling of 55588680 in words is "fifty-five million, five hundred eighty-eight thousand, six hundred eighty".