55504960 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 18708480.

The previous prime is 55504913. The next prime is 55504961. The reversal of 55504960 is 6940555.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (55504961) 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 15 ways as a sum of consecutive naturals, for example, 158866 + ... + 159214.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^55504960 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 55504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

55504960 is an abundant number, since it is smaller than the sum of its proper divisors (98114240).

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

55504960 is a wasteful number, since it uses less digits than its factorization.

55504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 55504960 is about 7450.1650988418. The cubic root of 55504960 is about 381.4555440961.

The spelling of 55504960 in words is "fifty-five million, five hundred four thousand, nine hundred sixty".