11983065808896 has 1536 divisors, whose sum is σ = 44827827408000. Its totient is φ = 2999665557504.

The previous prime is 11983065808877. The next prime is 11983065808981. The reversal of 11983065808896 is 69880856038911.

11983065808896 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 30 + 6 + 580 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 69266276266 + ... + 69266276438.

Almost surely, 2^{11983065808896} is an apocalyptic number.

11983065808896 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 11983065808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413913704000).

11983065808896 is an abundant number, since it is smaller than the sum of its proper divisors (32844761599104).

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

11983065808896 is a wasteful number, since it uses less digits than its factorization.

11983065808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 11983065808896 in words is "eleven trillion, nine hundred eighty-three billion, sixty-five million, eight hundred eight thousand, eight hundred ninety-six".