11165641443120 has 320 divisors, whose sum is σ = 36588058214400. Its totient is φ = 2811244068864.

The previous prime is 11165641443119. The next prime is 11165641443137. The reversal of 11165641443120 is 2134414656111.

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, 138064456 + ... + 138145304.

It is an arithmetic number, because the mean of its divisors is an integer number (114337681920).

Almost surely, 2^{11165641443120} is an apocalyptic number.

11165641443120 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 11165641443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294029107200).

11165641443120 is an abundant number, since it is smaller than the sum of its proper divisors (25422416771280).

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

11165641443120 is a wasteful number, since it uses less digits than its factorization.

11165641443120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81212 (or 81206 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 11165641443120 in words is "eleven trillion, one hundred sixty-five billion, six hundred forty-one million, four hundred forty-three thousand, one hundred twenty".