55988600 has 48 divisors (see below), whose sum is σ = 130780320. Its totient is φ = 22291200.

The previous prime is 55988567. The next prime is 55988627. The reversal of 55988600 is 688955.

55988600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53684 + ... + 54716.

It is an arithmetic number, because the mean of its divisors is an integer number (2724590).

Almost surely, 2^55988600 is an apocalyptic number.

55988600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55988600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65390160).

55988600 is an abundant number, since it is smaller than the sum of its proper divisors (74791720).

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

55988600 is a wasteful number, since it uses less digits than its factorization.

55988600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 55988600 is about 7482.5530402397. The cubic root of 55988600 is about 382.5602735837.

The spelling of 55988600 in words is "fifty-five million, nine hundred eighty-eight thousand, six hundred".