10686804128 has 384 divisors, whose sum is σ = 29652811776. Its totient is φ = 3657830400.

The previous prime is 10686804103. The next prime is 10686804133. The reversal of 10686804128 is 82140868601.

It is a Cunningham number, because it is equal to 103377²-1.

It is a super-2 number, since 2×10686804128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84148001 + ... + 84148127.

It is an arithmetic number, because the mean of its divisors is an integer number (77220864).

Almost surely, 2^10686804128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10686804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826405888).

10686804128 is an abundant number, since it is smaller than the sum of its proper divisors (18966007648).

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

10686804128 is a wasteful number, since it uses less digits than its factorization.

10686804128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 10686804128 in words is "ten billion, six hundred eighty-six million, eight hundred four thousand, one hundred twenty-eight".