59550 has 24 divisors (see below), whose sum is σ = 148056. Its totient is φ = 15840.

The previous prime is 59539. The next prime is 59557. The reversal of 59550 is 5595.

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 59550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (6169).

2⁵⁹⁵⁵⁰ is an apocalyptic number.

59550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59550 is an abundant number, since it is smaller than the sum of its proper divisors (88506).

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 (74028).

59550 is a wasteful number, since it uses less digits than its factorization.

59550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 59550 is about 244.0286868382. The cubic root of 59550 is about 39.0505590168.

The spelling of 59550 in words is "fifty-nine thousand, five hundred fifty".