11169841952880 has 960 divisors, whose sum is σ = 43928348405760. Its totient is φ = 2518705373184.

The previous prime is 11169841952837. The next prime is 11169841952947. The reversal of 11169841952880 is 8825914896111.

11169841952880 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 98 + 4 + 19 + 528 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1071031506 + ... + 1071041934.

It is an arithmetic number, because the mean of its divisors is an integer number (45758696256).

Almost surely, 2^{11169841952880} is an apocalyptic number.

11169841952880 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 11169841952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21964174202880).

11169841952880 is an abundant number, since it is smaller than the sum of its proper divisors (32758506452880).

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

11169841952880 is a wasteful number, since it uses less digits than its factorization.

11169841952880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10658 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 63.

The spelling of 11169841952880 in words is "eleven trillion, one hundred sixty-nine billion, eight hundred forty-one million, nine hundred fifty-two thousand, eight hundred eighty".