55193600 has 234 divisors, whose sum is σ = 173681964. Its totient is φ = 17203200.

The previous prime is 55193599. The next prime is 55193647. The reversal of 55193600 is 639155.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5017595 + ... + 5017605.

Almost surely, 2^55193600 is an apocalyptic number.

55193600 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 55193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86840982).

55193600 is an abundant number, since it is smaller than the sum of its proper divisors (118488364).

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

55193600 is a wasteful number, since it uses less digits than its factorization.

55193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 55193600 is about 7429.2395303961. The cubic root of 55193600 is about 380.7409366296.

It can be divided in two parts, 5519 and 3600, that added together give a palindrome (9119).

The spelling of 55193600 in words is "fifty-five million, one hundred ninety-three thousand, six hundred".