10686562656 has 192 divisors, whose sum is σ = 35080335360. Its totient is φ = 2767311360.

The previous prime is 10686562639. The next prime is 10686562681. The reversal of 10686562656 is 65626568601.

It is a super-2 number, since 2×10686562656² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686562599 and 10686562608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2651715 + ... + 2655741.

It is an arithmetic number, because the mean of its divisors is an integer number (182710080).

Almost surely, 2^10686562656 is an apocalyptic number.

10686562656 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 10686562656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17540167680).

10686562656 is an abundant number, since it is smaller than the sum of its proper divisors (24393772704).

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

10686562656 is a wasteful number, since it uses less digits than its factorization.

10686562656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4417 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 10686562656 in words is "ten billion, six hundred eighty-six million, five hundred sixty-two thousand, six hundred fifty-six".