10652665664 has 56 divisors (see below), whose sum is σ = 22402571400. Its totient is φ = 5008490496.

The previous prime is 10652665607. The next prime is 10652665691. The reversal of 10652665664 is 46656625601.

10652665664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8368590400 + 2284075264 = 91480^2 + 47792^2 .

It is a super-2 number, since 2×10652665664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407362 + ... + 1414910.

Almost surely, 2^10652665664 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 10652665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201285700).

10652665664 is an abundant number, since it is smaller than the sum of its proper divisors (11749905736).

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

10652665664 is a wasteful number, since it uses less digits than its factorization.

10652665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 10652665664 in words is "ten billion, six hundred fifty-two million, six hundred sixty-five thousand, six hundred sixty-four".