10968727869000 has 192 divisors, whose sum is σ = 40444691489280. Its totient is φ = 2659085520000.

The previous prime is 10968727868999. The next prime is 10968727869037. The reversal of 10968727869000 is 96872786901.

10968727869000 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 2×10968727869000² (a number of 27 digits) contains 22 as substring.

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, 55298616 + ... + 55496615.

It is an arithmetic number, because the mean of its divisors is an integer number (210649434840).

Almost surely, 2^{10968727869000} is an apocalyptic number.

10968727869000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10968727869000 is an abundant number, since it is smaller than the sum of its proper divisors (29475963620280).

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

10968727869000 is a wasteful number, since it uses less digits than its factorization.

10968727869000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110795269 (or 110795252 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 10968727869000 in words is "ten trillion, nine hundred sixty-eight billion, seven hundred twenty-seven million, eight hundred sixty-nine thousand".