11959064208 has 560 divisors, whose sum is σ = 45083364480. Its totient is φ = 2982998016.

The previous prime is 11959064207. The next prime is 11959064219. The reversal of 11959064208 is 80246095911.

11959064208 is a `hidden beast` number, since 1 + 19 + 590 + 6 + 42 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11959064207) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20166760 + ... + 20167352.

It is an arithmetic number, because the mean of its divisors is an integer number (80506008).

Almost surely, 2^11959064208 is an apocalyptic number.

11959064208 is a gapful number since it is divisible by the number (18) 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 11959064208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22541682240).

11959064208 is an abundant number, since it is smaller than the sum of its proper divisors (33124300272).

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

11959064208 is a wasteful number, since it uses less digits than its factorization.

11959064208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11959064208 in words is "eleven billion, nine hundred fifty-nine million, sixty-four thousand, two hundred eight".