11667822768 has 240 divisors, whose sum is σ = 39096783360. Its totient is φ = 3331589184.

The previous prime is 11667822737. The next prime is 11667822787. The reversal of 11667822768 is 86722876611.

It is a super-2 number, since 2×11667822768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 7259821 + ... + 7261427.

It is an arithmetic number, because the mean of its divisors is an integer number (162903264).

Almost surely, 2^11667822768 is an apocalyptic number.

11667822768 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 11667822768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19548391680).

11667822768 is an abundant number, since it is smaller than the sum of its proper divisors (27428960592).

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

11667822768 is an frugal number, since it uses more digits than its factorization.

11667822768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1619 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 11667822768 in words is "eleven billion, six hundred sixty-seven million, eight hundred twenty-two thousand, seven hundred sixty-eight".