55504160 has 48 divisors (see below), whose sum is σ = 134342712. Its totient is φ = 21657600.

The previous prime is 55504151. The next prime is 55504199. The reversal of 55504160 is 6140555.

55504160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39790864 + 15713296 = 6308^2 + 3964^2 .

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 7 ways as a sum of consecutive naturals, for example, 2330 + ... + 10790.

Almost surely, 2^55504160 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 55504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67171356).

55504160 is an abundant number, since it is smaller than the sum of its proper divisors (78838552).

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

55504160 is a wasteful number, since it uses less digits than its factorization.

55504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 55504160 is about 7450.1114085630. Note that the first 3 decimals coincide. The cubic root of 55504160 is about 381.4537114317.

The spelling of 55504160 in words is "fifty-five million, five hundred four thousand, one hundred sixty".