10882823040 has 768 divisors, whose sum is σ = 42771456000. Its totient is φ = 2633637888.

The previous prime is 10882823033. The next prime is 10882823041. The reversal of 10882823040 is 4032828801.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10882822986 and 10882823004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882823041) 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 95 ways as a sum of consecutive naturals, for example, 85691457 + ... + 85691583.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^10882823040 is an apocalyptic number.

10882823040 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 10882823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728000).

10882823040 is an abundant number, since it is smaller than the sum of its proper divisors (31888632960).

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

10882823040 is a wasteful number, since it uses less digits than its factorization.

10882823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10882823040 in words is "ten billion, eight hundred eighty-two million, eight hundred twenty-three thousand, forty".