10981826856 has 384 divisors, whose sum is σ = 41193446400. Its totient is φ = 2632331520.

The previous prime is 10981826839. The next prime is 10981826897. The reversal of 10981826856 is 65862818901.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 2808855 + ... + 2812761.

It is an arithmetic number, because the mean of its divisors is an integer number (107274600).

Almost surely, 2^10981826856 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 10981826856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20596723200).

10981826856 is an abundant number, since it is smaller than the sum of its proper divisors (30211619544).

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

10981826856 is a wasteful number, since it uses less digits than its factorization.

10981826856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10981826856 in words is "ten billion, nine hundred eighty-one million, eight hundred twenty-six thousand, eight hundred fifty-six".