11667760000 has 240 divisors, whose sum is σ = 31488795360. Its totient is φ = 4303104000.

The previous prime is 11667759997. The next prime is 11667760007. The reversal of 11667760000 is 6776611.

It is a happy number.

It is a super-2 number, since 2×11667760000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667760007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13519569 + ... + 13520431.

It is an arithmetic number, because the mean of its divisors is an integer number (131203314).

Almost surely, 2^11667760000 is an apocalyptic number.

11667760000 is a gapful number since it is divisible by the number (10) 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 11667760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744397680).

11667760000 is an abundant number, since it is smaller than the sum of its proper divisors (19821035360).

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

11667760000 is an frugal number, since it uses more digits than its factorization.

11667760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 11667760000 in words is "eleven billion, six hundred sixty-seven million, seven hundred sixty thousand".