55582600 has 48 divisors (see below), whose sum is σ = 136040400. Its totient is φ = 21061440.

The previous prime is 55582577. The next prime is 55582601. The reversal of 55582600 is 628555.

It is not an unprimeable number, because it can be changed into a prime (55582601) 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 11 ways as a sum of consecutive naturals, for example, 3514 + ... + 11113.

It is an arithmetic number, because the mean of its divisors is an integer number (2834175).

Almost surely, 2^55582600 is an apocalyptic number.

55582600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55582600 is an abundant number, since it is smaller than the sum of its proper divisors (80457800).

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

55582600 is a wasteful number, since it uses less digits than its factorization.

55582600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 55582600 is about 7455.3739007511. The cubic root of 55582600 is about 381.6333204617.

The spelling of 55582600 in words is "fifty-five million, five hundred eighty-two thousand, six hundred".