55504000 has 64 divisors (see below), whose sum is σ = 138036600. Its totient is φ = 22195200.

The previous prime is 55503989. The next prime is 55504019. The reversal of 55504000 is 40555.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 51724864 = 1944^2 + 7192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14266 + ... + 17734.

Almost surely, 2^55504000 is an apocalyptic number.

55504000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69018300).

55504000 is an abundant number, since it is smaller than the sum of its proper divisors (82532600).

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

55504000 is an equidigital number, since it uses as much as digits as its factorization.

55504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 55504000 is about 7450.1006704608. The cubic root of 55504000 is about 381.4533448967.

Adding to 55504000 its reverse (40555), we get a palindrome (55544555).

The spelling of 55504000 in words is "fifty-five million, five hundred four thousand".