10883999901824 has 384 divisors, whose sum is σ = 26948959776000. Its totient is φ = 4353027194880.

The previous prime is 10883999901793. The next prime is 10883999901893. The reversal of 10883999901824 is 42810999938801.

It is a super-2 number, since 2×10883999901824² (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5093120084 + ... + 5093122220.

It is an arithmetic number, because the mean of its divisors is an integer number (70179582750).

Almost surely, 2^{10883999901824} is an apocalyptic number.

10883999901824 is a gapful number since it is divisible by the number (14) 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 10883999901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474479888000).

10883999901824 is an abundant number, since it is smaller than the sum of its proper divisors (16064959874176).

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

10883999901824 is a wasteful number, since it uses less digits than its factorization.

10883999901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 71.

The spelling of 10883999901824 in words is "ten trillion, eight hundred eighty-three billion, nine hundred ninety-nine million, nine hundred one thousand, eight hundred twenty-four".