55580 has 24 divisors (see below), whose sum is σ = 133728. Its totient is φ = 19008.

The previous prime is 55579. The next prime is 55589. The reversal of 55580 is 8555.

55580 = T₂₉ + T₃₀ + ... + T₇₀.

It is a happy number.

55580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55580³ = 515082603336000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (5572).

2⁵⁵⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

55580 is an abundant number, since it is smaller than the sum of its proper divisors (78148).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66864).

55580 is a wasteful number, since it uses less digits than its factorization.

55580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 55580 is about 235.7541091901. The cubic root of 55580 is about 38.1627369786.

The spelling of 55580 in words is "fifty-five thousand, five hundred eighty".