66593855910912 has 704 divisors, whose sum is σ = 204701689479168. Its totient is φ = 19060162560000.

The previous prime is 66593855910859. The next prime is 66593855911001. The reversal of 66593855910912 is 21901955839566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19743210858 + ... + 19743214230.

Almost surely, 2^{66593855910912} is an apocalyptic number.

66593855910912 is a gapful number since it is divisible by the number (62) 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 66593855910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102350844739584).

66593855910912 is an abundant number, since it is smaller than the sum of its proper divisors (138107833568256).

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

66593855910912 is a wasteful number, since it uses less digits than its factorization.

66593855910912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 157464000, while the sum is 69.

The spelling of 66593855910912 in words is "sixty-six trillion, five hundred ninety-three billion, eight hundred fifty-five million, nine hundred ten thousand, nine hundred twelve".