9868111741800 has 1152 divisors, whose sum is σ = 39289985280000. Its totient is φ = 2196208650240.

The previous prime is 9868111741721. The next prime is 9868111741841. The reversal of 9868111741800 is 81471118689.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6329769421 + ... + 6329770979.

It is an arithmetic number, because the mean of its divisors is an integer number (34105890000).

Almost surely, 2^{9868111741800} is an apocalyptic number.

9868111741800 is a gapful number since it is divisible by the number (90) 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 9868111741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19644992640000).

9868111741800 is an abundant number, since it is smaller than the sum of its proper divisors (29421873538200).

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

9868111741800 is a wasteful number, since it uses less digits than its factorization.

9868111741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

It can be divided in two parts, 98681 and 11741800, that added together give a square (11840481 = 3441²).

The spelling of 9868111741800 in words is "nine trillion, eight hundred sixty-eight billion, one hundred eleven million, seven hundred forty-one thousand, eight hundred".