10822788864 has 144 divisors (see below), whose sum is σ = 33109120800. Its totient is φ = 3483131904.

The previous prime is 10822788857. The next prime is 10822788919. The reversal of 10822788864 is 46888722801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10822788864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173452 + ... + 227444.

It is an arithmetic number, because the mean of its divisors is an integer number (229924450).

Almost surely, 2^10822788864 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 10822788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16554560400).

10822788864 is an abundant number, since it is smaller than the sum of its proper divisors (22286331936).

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

10822788864 is an equidigital number, since it uses as much as digits as its factorization.

10822788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54047 (or 54027 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 10822788864 in words is "ten billion, eight hundred twenty-two million, seven hundred eighty-eight thousand, eight hundred sixty-four".