10859682816 has 132 divisors (see below), whose sum is σ = 31737130152. Its totient is φ = 3576029184.

The previous prime is 10859682803. The next prime is 10859682851. The reversal of 10859682816 is 61828695801.

It is a happy number.

10859682816 is a `hidden beast` number, since 10 + 8 + 596 + 8 + 28 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757830 + ... + 772026.

Almost surely, 2^10859682816 is an apocalyptic number.

10859682816 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 10859682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15868565076).

10859682816 is an abundant number, since it is smaller than the sum of its proper divisors (20877447336).

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

10859682816 is a wasteful number, since it uses less digits than its factorization.

10859682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14306 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 10859682816 in words is "ten billion, eight hundred fifty-nine million, six hundred eighty-two thousand, eight hundred sixteen".