10834639686 has 144 divisors (see below), whose sum is σ = 27625328640. Its totient is φ = 3055890240.

The previous prime is 10834639681. The next prime is 10834639709. The reversal of 10834639686 is 68693643801.

10834639686 is a `hidden beast` number, since 10 + 8 + 3 + 463 + 96 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834639681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788715 + ... + 1794761.

It is an arithmetic number, because the mean of its divisors is an integer number (191842560).

Almost surely, 2^10834639686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834639686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

10834639686 is an abundant number, since it is smaller than the sum of its proper divisors (16790688954).

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

10834639686 is a wasteful number, since it uses less digits than its factorization.

10834639686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10834639686 in words is "ten billion, eight hundred thirty-four million, six hundred thirty-nine thousand, six hundred eighty-six".