55987200 has 264 divisors, whose sum is σ = 208138960. Its totient is φ = 14929920.

The previous prime is 55987187. The next prime is 55987201. The reversal of 55987200 is 278955.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

55987200 is a `hidden beast` number, since 559 + 87 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (55987201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11197438 + ... + 11197442.

Almost surely, 2^55987200 is an apocalyptic number.

55987200 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 55987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104069480).

55987200 is an abundant number, since it is smaller than the sum of its proper divisors (152151760).

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

55987200 is an frugal number, since it uses more digits than its factorization.

55987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 55987200 is about 7482.4594886975. The cubic root of 55987200 is about 382.5570849057.

The spelling of 55987200 in words is "fifty-five million, nine hundred eighty-seven thousand, two hundred".