10844820000 has 960 divisors, whose sum is σ = 47864678400. Its totient is φ = 2332800000.

The previous prime is 10844819987. The next prime is 10844820001. The reversal of 10844820000 is 2844801.

10844820000 is a `hidden beast` number, since 10 + 8 + 448 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×10844820000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10844820001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71819925 + ... + 71820075.

It is an arithmetic number, because the mean of its divisors is an integer number (49859040).

Almost surely, 2^10844820000 is an apocalyptic number.

10844820000 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 10844820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932339200).

10844820000 is an abundant number, since it is smaller than the sum of its proper divisors (37019858400).

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

10844820000 is a wasteful number, since it uses less digits than its factorization.

10844820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 10844820000 in words is "ten billion, eight hundred forty-four million, eight hundred twenty thousand".