10889699909760 has 1024 divisors, whose sum is σ = 45723156480000. Its totient is φ = 2396610478080.

The previous prime is 10889699909713. The next prime is 10889699909761. The reversal of 10889699909760 is 6790999698801.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10889699909760.

It is not an unprimeable number, because it can be changed into a prime (10889699909761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1329467265 + ... + 1329475455.

It is an arithmetic number, because the mean of its divisors is an integer number (44651520000).

Almost surely, 2^{10889699909760} is an apocalyptic number.

10889699909760 is a gapful number since it is divisible by the number (10) 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 10889699909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861578240000).

10889699909760 is an abundant number, since it is smaller than the sum of its proper divisors (34833456570240).

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

10889699909760 is a wasteful number, since it uses less digits than its factorization.

10889699909760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 81.

The spelling of 10889699909760 in words is "ten trillion, eight hundred eighty-nine billion, six hundred ninety-nine million, nine hundred nine thousand, seven hundred sixty".