11475993231360 has 1152 divisors, whose sum is σ = 46984791934080. Its totient is φ = 2536715059200.

The previous prime is 11475993231347. The next prime is 11475993231361. The reversal of 11475993231360 is 6313239957411.

11475993231360 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 599 + 32 + 3 + 13 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 11475993231297 and 11475993231306.

It is not an unprimeable number, because it can be changed into a prime (11475993231361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113623695310 + ... + 113623695410.

It is an arithmetic number, because the mean of its divisors is an integer number (40785409665).

Almost surely, 2^{11475993231360} is an apocalyptic number.

11475993231360 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 11475993231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23492395967040).

11475993231360 is an abundant number, since it is smaller than the sum of its proper divisors (35508798702720).

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

11475993231360 is an frugal number, since it uses more digits than its factorization.

11475993231360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 11475993231360 in words is "eleven trillion, four hundred seventy-five billion, nine hundred ninety-three million, two hundred thirty-one thousand, three hundred sixty".