10568680684224 has 336 divisors, whose sum is σ = 32344481850912. Its totient is φ = 3033510445056.

The previous prime is 10568680684213. The next prime is 10568680684229. The reversal of 10568680684224 is 42248608686501.

10568680684224 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 2×10568680684224² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10568680684229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62247832 + ... + 62417384.

It is an arithmetic number, because the mean of its divisors is an integer number (96263338842).

Almost surely, 2^{10568680684224} 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 10568680684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172240925456).

10568680684224 is an abundant number, since it is smaller than the sum of its proper divisors (21775801166688).

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

10568680684224 is a wasteful number, since it uses less digits than its factorization.

10568680684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169724 (or 169701 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 10568680684224 in words is "ten trillion, five hundred sixty-eight billion, six hundred eighty million, six hundred eighty-four thousand, two hundred twenty-four".