11076085692 has 96 divisors (see below), whose sum is σ = 32903270400. Its totient is φ = 3156376896.

The previous prime is 11076085649. The next prime is 11076085703. The reversal of 11076085692 is 29658067011.

11076085692 is a `hidden beast` number, since 1 + 10 + 76 + 0 + 8 + 569 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275253 + ... + 312915.

It is an arithmetic number, because the mean of its divisors is an integer number (342742400).

Almost surely, 2^11076085692 is an apocalyptic number.

11076085692 is a gapful number since it is divisible by the number (12) 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 11076085692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451635200).

11076085692 is an abundant number, since it is smaller than the sum of its proper divisors (21827184708).

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

11076085692 is a wasteful number, since it uses less digits than its factorization.

11076085692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38072 (or 38064 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11076085692 in words is "eleven billion, seventy-six million, eighty-five thousand, six hundred ninety-two".