10820645264 has 80 divisors (see below), whose sum is σ = 25296089280. Its totient is φ = 4417390080.

The previous prime is 10820645239. The next prime is 10820645267. The reversal of 10820645264 is 46254602801.

It is not an unprimeable number, because it can be changed into a prime (10820645267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20747 + ... + 148565.

It is an arithmetic number, because the mean of its divisors is an integer number (316201116).

Almost surely, 2^10820645264 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 10820645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648044640).

10820645264 is an abundant number, since it is smaller than the sum of its proper divisors (14475444016).

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

10820645264 is a wasteful number, since it uses less digits than its factorization.

10820645264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127888 (or 127882 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 10820645264 in words is "ten billion, eight hundred twenty million, six hundred forty-five thousand, two hundred sixty-four".