55705200 has 120 divisors (see below), whose sum is σ = 181605936. Its totient is φ = 14592000.

The previous prime is 55705193. The next prime is 55705211. The reversal of 55705200 is 250755.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72820 + ... + 73580.

Almost surely, 2^55705200 is an apocalyptic number.

55705200 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 55705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90802968).

55705200 is an abundant number, since it is smaller than the sum of its proper divisors (125900736).

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

55705200 is a wasteful number, since it uses less digits than its factorization.

55705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 55705200 is about 7463.5916287000. The cubic root of 55705200 is about 381.9137072883.

Adding to 55705200 its reverse (250755), we get a palindrome (55955955).

The spelling of 55705200 in words is "fifty-five million, seven hundred five thousand, two hundred".