10987569999168 has 448 divisors, whose sum is σ = 34272136281600. Its totient is φ = 3105183105024.

The previous prime is 10987569999157. The next prime is 10987569999191. The reversal of 10987569999168 is 86199996578901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4591544980 + ... + 4591547372.

It is an arithmetic number, because the mean of its divisors is an integer number (76500304200).

Almost surely, 2^{10987569999168} 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 10987569999168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136068140800).

10987569999168 is an abundant number, since it is smaller than the sum of its proper divisors (23284566282432).

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

10987569999168 is a wasteful number, since it uses less digits than its factorization.

10987569999168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 87.

The spelling of 10987569999168 in words is "ten trillion, nine hundred eighty-seven billion, five hundred sixty-nine million, nine hundred ninety-nine thousand, one hundred sixty-eight".