10664544689280 has 1024 divisors, whose sum is σ = 40178436480000. Its totient is φ = 2668629196800.

The previous prime is 10664544689203. The next prime is 10664544689329. The reversal of 10664544689280 is 8298644546601.

10664544689280 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 4 + 5 + 4 + 468 + 92 + 80 = 666.

It is a super-2 number, since 2×10664544689280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6389780286 + ... + 6389781954.

It is an arithmetic number, because the mean of its divisors is an integer number (39236754375).

Almost surely, 2^{10664544689280} is an apocalyptic number.

10664544689280 is a gapful number since it is divisible by the number (10) 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 10664544689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089218240000).

10664544689280 is an abundant number, since it is smaller than the sum of its proper divisors (29513891790720).

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

10664544689280 is a wasteful number, since it uses less digits than its factorization.

10664544689280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 10664544689280 in words is "ten trillion, six hundred sixty-four billion, five hundred forty-four million, six hundred eighty-nine thousand, two hundred eighty".