11601331665020 has 96 divisors (see below), whose sum is σ = 25309410517440. Its totient is φ = 4463142266880.

The previous prime is 11601331665017. The next prime is 11601331665043. The reversal of 11601331665020 is 2056613310611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257951135 + ... + 257996105.

It is an arithmetic number, because the mean of its divisors is an integer number (263639692890).

Almost surely, 2^{11601331665020} is an apocalyptic number.

11601331665020 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 11601331665020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654705258720).

11601331665020 is an abundant number, since it is smaller than the sum of its proper divisors (13708078852420).

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

11601331665020 is a wasteful number, since it uses less digits than its factorization.

11601331665020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49023 (or 49021 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

Adding to 11601331665020 its reverse (2056613310611), we get a palindrome (13657944975631).

The spelling of 11601331665020 in words is "eleven trillion, six hundred one billion, three hundred thirty-one million, six hundred sixty-five thousand, twenty".