10676917656 has 96 divisors (see below), whose sum is σ = 29308471920. Its totient is φ = 3511008000.

The previous prime is 10676917553. The next prime is 10676917709. The reversal of 10676917656 is 65671967601.

10676917656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10676917656² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2128191 + ... + 2133201.

Almost surely, 2^10676917656 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 10676917656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654235960).

10676917656 is an abundant number, since it is smaller than the sum of its proper divisors (18631554264).

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

10676917656 is a wasteful number, since it uses less digits than its factorization.

10676917656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10676917656 in words is "ten billion, six hundred seventy-six million, nine hundred seventeen thousand, six hundred fifty-six".