66262120243200 has 4704 divisors, whose sum is σ = 306950965309440. Its totient is φ = 13845410611200.

The previous prime is 66262120243157. The next prime is 66262120243217. The reversal of 66262120243200 is 234202126266.

66262120243200 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 212 + 0 + 2 + 432 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 933269299165 + ... + 933269299235.

Almost surely, 2^{66262120243200} is an apocalyptic number.

66262120243200 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 66262120243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153475482654720).

66262120243200 is an abundant number, since it is smaller than the sum of its proper divisors (240688845066240).

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

66262120243200 is an equidigital number, since it uses as much as digits as its factorization.

66262120243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 66262120243200 its reverse (234202126266), we get a palindrome (66496322369466).

The spelling of 66262120243200 in words is "sixty-six trillion, two hundred sixty-two billion, one hundred twenty million, two hundred forty-three thousand, two hundred".