10843822080 has 768 divisors, whose sum is σ = 47551795200. Its totient is φ = 2282618880.

The previous prime is 10843822061. The next prime is 10843822091. The reversal of 10843822080 is 8022834801.

It is a happy number.

10843822080 is a `hidden beast` number, since 10 + 8 + 438 + 2 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159465 + ... + 25159895.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^10843822080 is an apocalyptic number.

10843822080 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 10843822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

10843822080 is an abundant number, since it is smaller than the sum of its proper divisors (36707973120).

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

10843822080 is a wasteful number, since it uses less digits than its factorization.

10843822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 461 counting only the distinct ones).

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

The spelling of 10843822080 in words is "ten billion, eight hundred forty-three million, eight hundred twenty-two thousand, eighty".