10882829026080 has 288 divisors, whose sum is σ = 40740149136960. Its totient is φ = 2623522007040.

The previous prime is 10882829026079. The next prime is 10882829026187. The reversal of 10882829026080 is 8062092828801.

It is a happy number.

10882829026080 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 2 + 8 + 29 + 0 + 2 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10882829026080² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916234 + ... + 4754486.

It is an arithmetic number, because the mean of its divisors is an integer number (141458851170).

Almost surely, 2^{10882829026080} is an apocalyptic number.

10882829026080 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 10882829026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20370074568480).

10882829026080 is an abundant number, since it is smaller than the sum of its proper divisors (29857320110880).

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

10882829026080 is a wasteful number, since it uses less digits than its factorization.

10882829026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838464 (or 3838453 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 10882829026080 in words is "ten trillion, eight hundred eighty-two billion, eight hundred twenty-nine million, twenty-six thousand, eighty".