10856680128 has 336 divisors, whose sum is σ = 38082996224. Its totient is φ = 3000913920.

The previous prime is 10856680099. The next prime is 10856680139. The reversal of 10856680128 is 82108665801.

10856680128 is a `hidden beast` number, since 1 + 0 + 8 + 566 + 80 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3373176 + ... + 3376392.

Almost surely, 2^10856680128 is an apocalyptic number.

10856680128 is a gapful number since it is divisible by the number (18) 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 10856680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041498112).

10856680128 is an abundant number, since it is smaller than the sum of its proper divisors (27226316096).

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

10856680128 is an equidigital number, since it uses as much as digits as its factorization.

10856680128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 10856680128 in words is "ten billion, eight hundred fifty-six million, six hundred eighty thousand, one hundred twenty-eight".