11579160768000 has 640 divisors, whose sum is σ = 46585682896896. Its totient is φ = 2490974208000.

The previous prime is 11579160767969. The next prime is 11579160768001. The reversal of 11579160768000 is 86706197511.

11579160768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579160768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22594605 + ... + 23101395.

Almost surely, 2^{11579160768000} is an apocalyptic number.

11579160768000 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 11579160768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23292841448448).

11579160768000 is an abundant number, since it is smaller than the sum of its proper divisors (35006522128896).

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

11579160768000 is an equidigital number, since it uses as much as digits as its factorization.

11579160768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506851 (or 506825 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 51.

The spelling of 11579160768000 in words is "eleven trillion, five hundred seventy-nine billion, one hundred sixty million, seven hundred sixty-eight thousand".