11967710976 has 216 divisors, whose sum is σ = 38168020800. Its totient is φ = 3582517248.

The previous prime is 11967710971. The next prime is 11967710977. The reversal of 11967710976 is 67901776911.

It is a super-2 number, since 2×11967710976² (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 (11967710971) 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 23 ways as a sum of consecutive naturals, for example, 1102825 + ... + 1113623.

It is an arithmetic number, because the mean of its divisors is an integer number (176703800).

Almost surely, 2^11967710976 is an apocalyptic number.

11967710976 is a gapful number since it is divisible by the number (16) 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 11967710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084010400).

11967710976 is an abundant number, since it is smaller than the sum of its proper divisors (26200309824).

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

11967710976 is a wasteful number, since it uses less digits than its factorization.

11967710976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10871 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 54.

The spelling of 11967710976 in words is "eleven billion, nine hundred sixty-seven million, seven hundred ten thousand, nine hundred seventy-six".