66553200 has 360 divisors, whose sum is σ = 279843200. Its totient is φ = 14307840.

The previous prime is 66553189. The next prime is 66553217. The reversal of 66553200 is 235566.

66553200 is a `hidden beast` number, since 6 + 655 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478731 + ... + 478869.

Almost surely, 2^66553200 is an apocalyptic number.

66553200 is a gapful number since it is divisible by the number (60) 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 66553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139921600).

66553200 is an abundant number, since it is smaller than the sum of its proper divisors (213290000).

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

66553200 is a wasteful number, since it uses less digits than its factorization.

66553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 66553200 is about 8158.0144643167. The cubic root of 66553200 is about 405.2499600085.

Adding to 66553200 its reverse (235566), we get a palindrome (66788766).

The spelling of 66553200 in words is "sixty-six million, five hundred fifty-three thousand, two hundred".