10667225793728 has 224 divisors, whose sum is σ = 25832993840640. Its totient is φ = 4268553707520.

The previous prime is 10667225793703. The next prime is 10667225793733. The reversal of 10667225793728 is 82739752276601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×10667225793728³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 951321050 + ... + 951332262.

It is an arithmetic number, because the mean of its divisors is an integer number (115325865360).

Almost surely, 2^{10667225793728} 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 10667225793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916496920320).

10667225793728 is an abundant number, since it is smaller than the sum of its proper divisors (15165768046912).

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

10667225793728 is a wasteful number, since it uses less digits than its factorization.

10667225793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12855 (or 12845 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 65.

The spelling of 10667225793728 in words is "ten trillion, six hundred sixty-seven billion, two hundred twenty-five million, seven hundred ninety-three thousand, seven hundred twenty-eight".