11185726068 has 144 divisors (see below), whose sum is σ = 33297264000. Its totient is φ = 3130364160.

The previous prime is 11185726049. The next prime is 11185726073. The reversal of 11185726068 is 86062758111.

11185726068 is a `hidden beast` number, since 1 + 1 + 18 + 572 + 6 + 0 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242958 + ... + 285306.

It is an arithmetic number, because the mean of its divisors is an integer number (231231000).

Almost surely, 2^11185726068 is an apocalyptic number.

11185726068 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 11185726068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648632000).

11185726068 is an abundant number, since it is smaller than the sum of its proper divisors (22111537932).

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

11185726068 is a wasteful number, since it uses less digits than its factorization.

11185726068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42422 (or 42417 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11185726068 in words is "eleven billion, one hundred eighty-five million, seven hundred twenty-six thousand, sixty-eight".