66218208256200 has 768 divisors, whose sum is σ = 279104936140800. Its totient is φ = 12540411187200.

The previous prime is 66218208256183. The next prime is 66218208256247. The reversal of 66218208256200 is 265280281266.

It is a super-2 number, since 2×66218208256200² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66218208256200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46749594 + ... + 48145206.

It is an arithmetic number, because the mean of its divisors is an integer number (363417885600).

Almost surely, 2^{66218208256200} is an apocalyptic number.

66218208256200 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 66218208256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139552468070400).

66218208256200 is an abundant number, since it is smaller than the sum of its proper divisors (212886727884600).

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

66218208256200 is a wasteful number, since it uses less digits than its factorization.

66218208256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395742 (or 1395733 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 66218208256200 in words is "sixty-six trillion, two hundred eighteen billion, two hundred eight million, two hundred fifty-six thousand, two hundred".