11601106944000 has 960 divisors, whose sum is σ = 46448150461440. Its totient is φ = 2511942451200.

The previous prime is 11601106943953. The next prime is 11601106944013. The reversal of 11601106944000 is 44960110611.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11601106944000² (a number of 27 digits) contains 22 as substring.

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, 817144902 + ... + 817159098.

It is an arithmetic number, because the mean of its divisors is an integer number (48383490064).

Almost surely, 2^{11601106944000} is an apocalyptic number.

11601106944000 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 11601106944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224075230720).

11601106944000 is an abundant number, since it is smaller than the sum of its proper divisors (34847043517440).

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

11601106944000 is an equidigital number, since it uses as much as digits as its factorization.

11601106944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14269 (or 14233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11601106944000 in words is "eleven trillion, six hundred one billion, one hundred six million, nine hundred forty-four thousand".