10664581504 has 64 divisors (see below), whose sum is σ = 21794850000. Its totient is φ = 5194874880.

The previous prime is 10664581471. The next prime is 10664581519. The reversal of 10664581504 is 40518546601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10664581504² (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 7 ways as a sum of consecutive naturals, for example, 6553939 + ... + 6555565.

Almost surely, 2^10664581504 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 10664581504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897425000).

10664581504 is an abundant number, since it is smaller than the sum of its proper divisors (11130268496).

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

10664581504 is a wasteful number, since it uses less digits than its factorization.

10664581504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10664581504 in words is "ten billion, six hundred sixty-four million, five hundred eighty-one thousand, five hundred four".