10822800000 has 384 divisors, whose sum is σ = 37291363200. Its totient is φ = 2777600000.

The previous prime is 10822799899. The next prime is 10822800031. The reversal of 10822800000 is 822801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10822800000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34799845 + ... + 34800155.

It is an arithmetic number, because the mean of its divisors is an integer number (97112925).

Almost surely, 2^10822800000 is an apocalyptic number.

10822800000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10822800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645681600).

10822800000 is an abundant number, since it is smaller than the sum of its proper divisors (26468563200).

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

10822800000 is an frugal number, since it uses more digits than its factorization.

10822800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

It can be divided in two parts, 1082 and 2800000, that added together give a palindrome (2801082).

The spelling of 10822800000 in words is "ten billion, eight hundred twenty-two million, eight hundred thousand".