10864309824 has 189 divisors, whose sum is σ = 32200408929. Its totient is φ = 3502195200.

The previous prime is 10864309727. The next prime is 10864309871. The reversal of 10864309824 is 42890346801.

It is a happy number.

The square root of 10864309824 is 104232.

It is a perfect power (a square), and thus also a powerful number.

10864309824 is a `hidden beast` number, since 108 + 6 + 430 + 98 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10438300224 + 426009600 = 102168^2 + 20640^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10864309824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 107567374 + ... + 107567474.

Almost surely, 2^10864309824 is an apocalyptic number.

10864309824 is the 104232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10864309824

10864309824 is an abundant number, since it is smaller than the sum of its proper divisors (21336099105).

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

10864309824 is an equidigital number, since it uses as much as digits as its factorization.

10864309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10864309824 in words is "ten billion, eight hundred sixty-four million, three hundred nine thousand, eight hundred twenty-four".