10868825968 has 480 divisors, whose sum is σ = 31917957120. Its totient is φ = 3467059200.

The previous prime is 10868825941. The next prime is 10868825977. The reversal of 10868825968 is 86952886801.

It is a super-2 number, since 2×10868825968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56904753 + ... + 56904943.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 2^10868825968 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 10868825968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

10868825968 is an abundant number, since it is smaller than the sum of its proper divisors (21049131152).

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

10868825968 is a wasteful number, since it uses less digits than its factorization.

10868825968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 61.

The spelling of 10868825968 in words is "ten billion, eight hundred sixty-eight million, eight hundred twenty-five thousand, nine hundred sixty-eight".