10723892864 has 64 divisors (see below), whose sum is σ = 21850236000. Its totient is φ = 5240957952.

The previous prime is 10723892863. The next prime is 10723892897. The reversal of 10723892864 is 46829832701.

10723892864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10723892863) by changing a digit.

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, 1347842 + ... + 1355774.

Almost surely, 2^10723892864 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 10723892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925118000).

10723892864 is an abundant number, since it is smaller than the sum of its proper divisors (11126343136).

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

10723892864 is an equidigital number, since it uses as much as digits as its factorization.

10723892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 10723892864 in words is "ten billion, seven hundred twenty-three million, eight hundred ninety-two thousand, eight hundred sixty-four".