10664358912 has 440 divisors, whose sum is σ = 34359140640. Its totient is φ = 3284582400.

The previous prime is 10664358863. The next prime is 10664358923. The reversal of 10664358912 is 21985346601.

10664358912 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 3 + 589 + 1 + 2 = 666.

It is a super-2 number, since 2×10664358912² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105587662 + ... + 105587762.

It is an arithmetic number, because the mean of its divisors is an integer number (78088956).

Almost surely, 2^10664358912 is an apocalyptic number.

10664358912 is a gapful number since it is divisible by the number (12) 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 10664358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17179570320).

10664358912 is an abundant number, since it is smaller than the sum of its proper divisors (23694781728).

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

10664358912 is a wasteful number, since it uses less digits than its factorization.

10664358912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10664358912 in words is "ten billion, six hundred sixty-four million, three hundred fifty-eight thousand, nine hundred twelve".