11611175827968 has 240 divisors, whose sum is σ = 34759186478016. Its totient is φ = 3869566525440.

The previous prime is 11611175827943. The next prime is 11611175828027. The reversal of 11611175827968 is 86972857111611.

11611175827968 is a `hidden beast` number, since 1 + 1 + 611 + 1 + 7 + 5 + 8 + 2 + 7 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940703205 + ... + 940715547.

Almost surely, 2^{11611175827968} is an apocalyptic number.

11611175827968 is a gapful number since it is divisible by the number (18) 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 11611175827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379593239008).

11611175827968 is an abundant number, since it is smaller than the sum of its proper divisors (23148010650048).

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

11611175827968 is an frugal number, since it uses more digits than its factorization.

11611175827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19937 (or 19909 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 63.

The spelling of 11611175827968 in words is "eleven trillion, six hundred eleven billion, one hundred seventy-five million, eight hundred twenty-seven thousand, nine hundred sixty-eight".