10066439821312 has 384 divisors, whose sum is σ = 24203651472000. Its totient is φ = 4094746951680.

The previous prime is 10066439821267. The next prime is 10066439821331. The reversal of 10066439821312 is 21312893466001.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7289238862 + ... + 7289240242.

It is an arithmetic number, because the mean of its divisors is an integer number (63030342375).

Almost surely, 2^{10066439821312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10066439821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12101825736000).

10066439821312 is an abundant number, since it is smaller than the sum of its proper divisors (14137211650688).

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

10066439821312 is a wasteful number, since it uses less digits than its factorization.

10066439821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 10066439821312 in words is "ten trillion, sixty-six billion, four hundred thirty-nine million, eight hundred twenty-one thousand, three hundred twelve".