11131778768 has 120 divisors (see below), whose sum is σ = 24449685120. Its totient is φ = 4868398080.

The previous prime is 11131778743. The next prime is 11131778773. The reversal of 11131778768 is 86787713111.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 25708280 + ... + 25708712.

It is an arithmetic number, because the mean of its divisors is an integer number (203747376).

Almost surely, 2^11131778768 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 11131778768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224842560).

11131778768 is an abundant number, since it is smaller than the sum of its proper divisors (13317906352).

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

11131778768 is a wasteful number, since it uses less digits than its factorization.

11131778768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 568 counting only the distinct ones).

The product of its digits is 395136, while the sum is 50.

The spelling of 11131778768 in words is "eleven billion, one hundred thirty-one million, seven hundred seventy-eight thousand, seven hundred sixty-eight".