10664164652928 has 256 divisors, whose sum is σ = 29933556480000. Its totient is φ = 3357110484992.

The previous prime is 10664164652927. The next prime is 10664164652963. The reversal of 10664164652928 is 82925646146601.

It is a happy number.

It is a super-2 number, since 2×10664164652928² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664164652927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565159078 + ... + 565177946.

It is an arithmetic number, because the mean of its divisors is an integer number (116927955000).

Almost surely, 2^{10664164652928} 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 10664164652928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966778240000).

10664164652928 is an abundant number, since it is smaller than the sum of its proper divisors (19269391827072).

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

10664164652928 is a wasteful number, since it uses less digits than its factorization.

10664164652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19717 (or 19705 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 10664164652928 in words is "ten trillion, six hundred sixty-four billion, one hundred sixty-four million, six hundred fifty-two thousand, nine hundred twenty-eight".