10843628880 has 320 divisors, whose sum is σ = 40340275200. Its totient is φ = 2357268480.

The previous prime is 10843628879. The next prime is 10843628893. The reversal of 10843628880 is 8882634801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3070956 + ... + 3074484.

It is an arithmetic number, because the mean of its divisors is an integer number (126063360).

Almost surely, 2^10843628880 is an apocalyptic number.

10843628880 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 10843628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170137600).

10843628880 is an abundant number, since it is smaller than the sum of its proper divisors (29496646320).

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

10843628880 is a wasteful number, since it uses less digits than its factorization.

10843628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 10843628880 in words is "ten billion, eight hundred forty-three million, six hundred twenty-eight thousand, eight hundred eighty".