11327167519360 has 1024 divisors, whose sum is σ = 35817475276800. Its totient is φ = 3321110200320.

The previous prime is 11327167519351. The next prime is 11327167519379. The reversal of 11327167519360 is 6391576172311.

It is a happy number.

11327167519360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11327167519298 and 11327167519307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29574849729 + ... + 29574850111.

It is an arithmetic number, because the mean of its divisors is an integer number (34978003200).

Almost surely, 2^{11327167519360} is an apocalyptic number.

11327167519360 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 11327167519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908737638400).

11327167519360 is an abundant number, since it is smaller than the sum of its proper divisors (24490307757440).

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

11327167519360 is a wasteful number, since it uses less digits than its factorization.

11327167519360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 11327167519360 in words is "eleven trillion, three hundred twenty-seven billion, one hundred sixty-seven million, five hundred nineteen thousand, three hundred sixty".