10865671760 has 20 divisors (see below), whose sum is σ = 25262687028. Its totient is φ = 4346268672.

The previous prime is 10865671717. The next prime is 10865671781. The reversal of 10865671760 is 6717656801.

10865671760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2353026064 + 8512645696 = 48508^2 + 92264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10865671760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67910369 + ... + 67910528.

Almost surely, 2^10865671760 is an apocalyptic number.

10865671760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10865671760 is an abundant number, since it is smaller than the sum of its proper divisors (14397015268).

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

10865671760 is a wasteful number, since it uses less digits than its factorization.

10865671760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820910 (or 135820904 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 10865671760 in words is "ten billion, eight hundred sixty-five million, six hundred seventy-one thousand, seven hundred sixty".