10066172678912 has 432 divisors, whose sum is σ = 25199282304000. Its totient is φ = 3989278605312.

The previous prime is 10066172678899. The next prime is 10066172678921. The reversal of 10066172678912 is 21987627166001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675737413 + ... + 1675743419.

It is an arithmetic number, because the mean of its divisors is an integer number (58331672000).

Almost surely, 2^{10066172678912} 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 10066172678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599641152000).

10066172678912 is an abundant number, since it is smaller than the sum of its proper divisors (15133109625088).

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

10066172678912 is an equidigital number, since it uses as much as digits as its factorization.

10066172678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 56.

The spelling of 10066172678912 in words is "ten trillion, sixty-six billion, one hundred seventy-two million, six hundred seventy-eight thousand, nine hundred twelve".