55176400 has 30 divisors (see below), whose sum is σ = 132562262. Its totient is φ = 22070400.

The previous prime is 55176383. The next prime is 55176403. The reversal of 55176400 is 467155.

55176400 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 3 ways, for example, as 3968064 + 51208336 = 1992^2 + 7156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55176403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 68571 + ... + 69370.

Almost surely, 2^55176400 is an apocalyptic number.

55176400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55176400 is an abundant number, since it is smaller than the sum of its proper divisors (77385862).

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

55176400 is a wasteful number, since it uses less digits than its factorization.

55176400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137959 (or 137948 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 55176400 is about 7428.0818519992. The cubic root of 55176400 is about 380.7013823788.

The spelling of 55176400 in words is "fifty-five million, one hundred seventy-six thousand, four hundred".