10848821004 has 144 divisors (see below), whose sum is σ = 32612973120. Its totient is φ = 2975132160.

The previous prime is 10848820981. The next prime is 10848821017. The reversal of 10848821004 is 40012884801.

It is a happy number.

10848821004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10848821004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259994 + ... + 1268574.

It is an arithmetic number, because the mean of its divisors is an integer number (226478980).

Almost surely, 2^10848821004 is an apocalyptic number.

10848821004 is a gapful number since it is divisible by the number (14) 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 10848821004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306486560).

10848821004 is an abundant number, since it is smaller than the sum of its proper divisors (21764152116).

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

10848821004 is a wasteful number, since it uses less digits than its factorization.

10848821004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10848821004 in words is "ten billion, eight hundred forty-eight million, eight hundred twenty-one thousand, four".