10809087120 has 560 divisors, whose sum is σ = 41497187760. Its totient is φ = 2600792064.

The previous prime is 10809087109. The next prime is 10809087127. The reversal of 10809087120 is 2178090801.

It can be written as a sum of positive squares in 8 ways, for example, as 1755945216 + 9053141904 = 41904^2 + 95148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10809087127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40182346 + ... + 40182614.

It is an arithmetic number, because the mean of its divisors is an integer number (74102121).

Almost surely, 2^10809087120 is an apocalyptic number.

10809087120 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 10809087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748593880).

10809087120 is an abundant number, since it is smaller than the sum of its proper divisors (30688100640).

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

10809087120 is a wasteful number, since it uses less digits than its factorization.

10809087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10809087120 in words is "ten billion, eight hundred nine million, eighty-seven thousand, one hundred twenty".