10664120054016 has 1728 divisors, whose sum is σ = 40012299565056. Its totient is φ = 2782937088000.

The previous prime is 10664120054009. The next prime is 10664120054057. The reversal of 10664120054016 is 61045002146601.

10664120054016 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 41 + 200 + 5 + 401 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×10664120054016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22835374615 + ... + 22835375081.

It is an arithmetic number, because the mean of its divisors is an integer number (23155265952).

Almost surely, 2^{10664120054016} is an apocalyptic number.

10664120054016 is a gapful number since it is divisible by the number (16) 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 10664120054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006149782528).

10664120054016 is an abundant number, since it is smaller than the sum of its proper divisors (29348179511040).

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

10664120054016 is a wasteful number, since it uses less digits than its factorization.

10664120054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10664120054016 in words is "ten trillion, six hundred sixty-four billion, one hundred twenty million, fifty-four thousand, sixteen".