66085891200 has 1536 divisors, whose sum is σ = 298695168000. Its totient is φ = 14108774400.

The previous prime is 66085891199. The next prime is 66085891211. The reversal of 66085891200 is 219858066.

66085891200 is a `hidden beast` number, since 6 + 60 + 8 + 589 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 930787165 + ... + 930787235.

It is an arithmetic number, because the mean of its divisors is an integer number (194463000).

Almost surely, 2^66085891200 is an apocalyptic number.

66085891200 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 66085891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149347584000).

66085891200 is an abundant number, since it is smaller than the sum of its proper divisors (232609276800).

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

66085891200 is an equidigital number, since it uses as much as digits as its factorization.

66085891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 66085891200 in words is "sixty-six billion, eighty-five million, eight hundred ninety-one thousand, two hundred".