10665506948992 has 128 divisors (see below), whose sum is σ = 24345113241600. Its totient is φ = 4559262812160.

The previous prime is 10665506948977. The next prime is 10665506949011. The reversal of 10665506948992 is 29984960556601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10665506948992² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1220165742 + ... + 1220174482.

It is an arithmetic number, because the mean of its divisors is an integer number (190196197200).

Almost surely, 2^{10665506948992} 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 10665506948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12172556620800).

10665506948992 is an abundant number, since it is smaller than the sum of its proper divisors (13679606292608).

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

10665506948992 is an equidigital number, since it uses as much as digits as its factorization.

10665506948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12084 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 70.

The spelling of 10665506948992 in words is "ten trillion, six hundred sixty-five billion, five hundred six million, nine hundred forty-eight thousand, nine hundred ninety-two".