10809262080 has 420 divisors, whose sum is σ = 39109249452. Its totient is φ = 2866544640.

The previous prime is 10809262069. The next prime is 10809262129. The reversal of 10809262080 is 8026290801.

It can be written as a sum of positive squares in 2 ways, for example, as 1445216256 + 9364045824 = 38016^2 + 96768^2 .

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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719590 + ... + 59719770.

Almost surely, 2^10809262080 is an apocalyptic number.

10809262080 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 10809262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554624726).

10809262080 is an abundant number, since it is smaller than the sum of its proper divisors (28299987372).

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

10809262080 is an frugal number, since it uses more digits than its factorization.

10809262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10809262080 in words is "ten billion, eight hundred nine million, two hundred sixty-two thousand, eighty".