10818815840 has 288 divisors, whose sum is σ = 31853606400. Its totient is φ = 3451714560.

The previous prime is 10818815801. The next prime is 10818815849. The reversal of 10818815840 is 4851881801.

It is a junction number, because it is equal to n+sod(n) for n = 10818815791 and 10818815800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10818815849) 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 47 ways as a sum of consecutive naturals, for example, 8788025 + ... + 8789255.

It is an arithmetic number, because the mean of its divisors is an integer number (110602800).

Almost surely, 2^10818815840 is an apocalyptic number.

10818815840 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 10818815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926803200).

10818815840 is an abundant number, since it is smaller than the sum of its proper divisors (21034790560).

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

10818815840 is a wasteful number, since it uses less digits than its factorization.

10818815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 44.

The spelling of 10818815840 in words is "ten billion, eight hundred eighteen million, eight hundred fifteen thousand, eight hundred forty".