10805306736 has 400 divisors, whose sum is σ = 34885222560. Its totient is φ = 2876590080.

The previous prime is 10805306719. The next prime is 10805306741. The reversal of 10805306736 is 63760350801.

It is a junction number, because it is equal to n+sod(n) for n = 10805306694 and 10805306703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177136146 + ... + 177136206.

Almost surely, 2^10805306736 is an apocalyptic number.

10805306736 is a gapful number since it is divisible by the number (16) 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 10805306736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442611280).

10805306736 is an abundant number, since it is smaller than the sum of its proper divisors (24079915824).

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

10805306736 is an equidigital number, since it uses as much as digits as its factorization.

10805306736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10805306736 in words is "ten billion, eight hundred five million, three hundred six thousand, seven hundred thirty-six".