55861200 has 180 divisors, whose sum is σ = 197889120. Its totient is φ = 14588160.

The previous prime is 55861199. The next prime is 55861207. The reversal of 55861200 is 216855.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55861207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212269 + ... + 212531.

It is an arithmetic number, because the mean of its divisors is an integer number (1099384).

Almost surely, 2^55861200 is an apocalyptic number.

55861200 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 55861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944560).

55861200 is an abundant number, since it is smaller than the sum of its proper divisors (142027920).

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

55861200 is a wasteful number, since it uses less digits than its factorization.

55861200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55861200 is about 7474.0350547746. The cubic root of 55861200 is about 382.2698859395.

It can be divided in two parts, 5586 and 1200, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 55861200 in words is "fifty-five million, eight hundred sixty-one thousand, two hundred".