11968553376 has 144 divisors (see below), whose sum is σ = 37548168840. Its totient is φ = 3592765440.

The previous prime is 11968553371. The next prime is 11968553381. The reversal of 11968553376 is 67335586911.

11968553376 is a `hidden beast` number, since 1 + 19 + 6 + 8 + 553 + 3 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (11968553371) and next prime (11968553381).

It can be written as a sum of positive squares in 4 ways, for example, as 5833904400 + 6134648976 = 76380^2 + 78324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11968553371) 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, 114520 + ... + 192488.

Almost surely, 2^11968553376 is an apocalyptic number.

11968553376 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 11968553376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18774084420).

11968553376 is an abundant number, since it is smaller than the sum of its proper divisors (25579615464).

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

11968553376 is a wasteful number, since it uses less digits than its factorization.

11968553376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78039 (or 78028 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 11968553376 in words is "eleven billion, nine hundred sixty-eight million, five hundred fifty-three thousand, three hundred seventy-six".