10882044800 has 384 divisors, whose sum is σ = 31554230400. Its totient is φ = 3666124800.

The previous prime is 10882044799. The next prime is 10882044821. The reversal of 10882044800 is 844028801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35446247 + ... + 35446553.

It is an arithmetic number, because the mean of its divisors is an integer number (82172475).

Almost surely, 2^10882044800 is an apocalyptic number.

10882044800 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 10882044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15777115200).

10882044800 is an abundant number, since it is smaller than the sum of its proper divisors (20672185600).

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

10882044800 is a wasteful number, since it uses less digits than its factorization.

10882044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The spelling of 10882044800 in words is "ten billion, eight hundred eighty-two million, forty-four thousand, eight hundred".