11191806768 has 160 divisors (see below), whose sum is σ = 30706106112. Its totient is φ = 3507840000.

The previous prime is 11191806767. The next prime is 11191806781. The reversal of 11191806768 is 86760819111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11191806761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7712443 + ... + 7713893.

Almost surely, 2^11191806768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11191806768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353053056).

11191806768 is an abundant number, since it is smaller than the sum of its proper divisors (19514299344).

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

11191806768 is a wasteful number, since it uses less digits than its factorization.

11191806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 48.

The spelling of 11191806768 in words is "eleven billion, one hundred ninety-one million, eight hundred six thousand, seven hundred sixty-eight".