55580352 has 56 divisors (see below), whose sum is σ = 148199856. Its totient is φ = 18382848.

The previous prime is 55580347. The next prime is 55580353. The reversal of 55580352 is 25308555.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55580353) 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, 25248 + ... + 27360.

It is an arithmetic number, because the mean of its divisors is an integer number (2646426).

Almost surely, 2^55580352 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 55580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74099928).

55580352 is an abundant number, since it is smaller than the sum of its proper divisors (92619504).

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

55580352 is a wasteful number, since it uses less digits than its factorization.

55580352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 55580352 is about 7455.2231354937. The cubic root of 55580352 is about 381.6281754267.

The spelling of 55580352 in words is "fifty-five million, five hundred eighty thousand, three hundred fifty-two".