55172800 has 42 divisors (see below), whose sum is σ = 135763508. Its totient is φ = 22068480.

The previous prime is 55172771. The next prime is 55172801. The reversal of 55172800 is 827155.

55172800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55172801) 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, 15642 + ... + 18841.

Almost surely, 2^55172800 is an apocalyptic number.

55172800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55172800 is an abundant number, since it is smaller than the sum of its proper divisors (80590708).

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

55172800 is a wasteful number, since it uses less digits than its factorization.

55172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34505 (or 34490 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 55172800 is about 7427.8395243839. The cubic root of 55172800 is about 380.6931025419.

Adding to 55172800 its reverse (827155), we get a palindrome (55999955).

The spelling of 55172800 in words is "fifty-five million, one hundred seventy-two thousand, eight hundred".