55717200 has 480 divisors, whose sum is σ = 250936320. Its totient is φ = 11404800.

The previous prime is 55717187. The next prime is 55717213. The reversal of 55717200 is 271755.

It is an interprime number because it is at equal distance from previous prime (55717187) and next prime (55717213).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 831567 + ... + 831633.

It is an arithmetic number, because the mean of its divisors is an integer number (522784).

Almost surely, 2^55717200 is an apocalyptic number.

55717200 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 55717200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468160).

55717200 is an abundant number, since it is smaller than the sum of its proper divisors (195219120).

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

55717200 is a wasteful number, since it uses less digits than its factorization.

55717200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 55717200 is about 7464.3954879146. The cubic root of 55717200 is about 381.9411292372.

Adding to 55717200 its reverse (271755), we get a palindrome (55988955).

The spelling of 55717200 in words is "fifty-five million, seven hundred seventeen thousand, two hundred".