10686938112 has 132 divisors (see below), whose sum is σ = 30917724240. Its totient is φ = 3555459072.

The previous prime is 10686938069. The next prime is 10686938137. The reversal of 10686938112 is 21183968601.

It is a super-2 number, since 2×10686938112² (a number of 21 digits) contains 22 as substring.

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, 7584064 + ... + 7585472.

Almost surely, 2^10686938112 is an apocalyptic number.

10686938112 is a gapful number since it is divisible by the number (12) 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 10686938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458862120).

10686938112 is an abundant number, since it is smaller than the sum of its proper divisors (20230786128).

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

10686938112 is a wasteful number, since it uses less digits than its factorization.

10686938112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10686938112 in words is "ten billion, six hundred eighty-six million, nine hundred thirty-eight thousand, one hundred twelve".