10908318106728 has 720 divisors, whose sum is σ = 37879333303500. Its totient is φ = 2831803785216.

The previous prime is 10908318106709. The next prime is 10908318106769. The reversal of 10908318106728 is 82760181380901.

It can be written as a sum of positive squares in 6 ways, for example, as 7789357247364 + 3118960859364 = 2790942^2 + 1766058^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1448836468 + ... + 1448843996.

Almost surely, 2^{10908318106728} is an apocalyptic number.

10908318106728 is a gapful number since it is divisible by the number (18) 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 10908318106728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18939666651750).

10908318106728 is an abundant number, since it is smaller than the sum of its proper divisors (26971015196772).

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

10908318106728 is a wasteful number, since it uses less digits than its factorization.

10908318106728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 10908318106728 in words is "ten trillion, nine hundred eight billion, three hundred eighteen million, one hundred six thousand, seven hundred twenty-eight".