11967559061056 has 189 divisors, whose sum is σ = 24934710499923. Its totient is φ = 5698903541760.

The previous prime is 11967559061039. The next prime is 11967559061063. The reversal of 11967559061056 is 65016095576911.

It is a happy number.

The square root of 11967559061056 is 3459416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1295681358400 + 10671877702656 = 1138280^2 + 3266784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11967559060985 and 11967559061003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60138487645 + ... + 60138487843.

Almost surely, 2^{11967559061056} is an apocalyptic number.

11967559061056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11967559061056 is the 3459416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11967559061056

11967559061056 is an abundant number, since it is smaller than the sum of its proper divisors (12967151438867).

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

11967559061056 is an frugal number, since it uses more digits than its factorization.

11967559061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 61.

The spelling of 11967559061056 in words is "eleven trillion, nine hundred sixty-seven billion, five hundred fifty-nine million, sixty-one thousand, fifty-six".