11165777664 has 288 divisors, whose sum is σ = 32053190400. Its totient is φ = 3444080640.

The previous prime is 11165777641. The next prime is 11165777669. The reversal of 11165777664 is 46677756111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165777669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85234879 + ... + 85235009.

It is an arithmetic number, because the mean of its divisors is an integer number (111295800).

Almost surely, 2^11165777664 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 11165777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026595200).

11165777664 is an abundant number, since it is smaller than the sum of its proper divisors (20887412736).

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

11165777664 is a wasteful number, since it uses less digits than its factorization.

11165777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The spelling of 11165777664 in words is "eleven billion, one hundred sixty-five million, seven hundred seventy-seven thousand, six hundred sixty-four".