10818126720 has 512 divisors, whose sum is σ = 39745728000. Its totient is φ = 2814289920.

The previous prime is 10818126719. The next prime is 10818126731. The reversal of 10818126720 is 2762181801.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82581055 + ... + 82581185.

It is an arithmetic number, because the mean of its divisors is an integer number (77628375).

Almost surely, 2^10818126720 is an apocalyptic number.

10818126720 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 10818126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872864000).

10818126720 is an abundant number, since it is smaller than the sum of its proper divisors (28927601280).

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

10818126720 is an frugal number, since it uses more digits than its factorization.

10818126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 10818126720 in words is "ten billion, eight hundred eighteen million, one hundred twenty-six thousand, seven hundred twenty".