10541706768 has 200 divisors, whose sum is σ = 32424844320. Its totient is φ = 3297024000.

The previous prime is 10541706761. The next prime is 10541706779. The reversal of 10541706768 is 86760714501.

It is a super-2 number, since 2×10541706768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541706761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2632768 + ... + 2636768.

Almost surely, 2^10541706768 is an apocalyptic number.

10541706768 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 10541706768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212422160).

10541706768 is an abundant number, since it is smaller than the sum of its proper divisors (21883137552).

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

10541706768 is a wasteful number, since it uses less digits than its factorization.

10541706768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10541706768 in words is "ten billion, five hundred forty-one million, seven hundred six thousand, seven hundred sixty-eight".