11609851968 has 336 divisors, whose sum is σ = 39774571200. Its totient is φ = 3191132160.

The previous prime is 11609851963. The next prime is 11609851993. The reversal of 11609851968 is 86915890611.

11609851968 is a `hidden beast` number, since 1 + 1 + 60 + 9 + 8 + 519 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (11609851963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858518 + ... + 4860906.

It is an arithmetic number, because the mean of its divisors is an integer number (118376700).

Almost surely, 2^11609851968 is an apocalyptic number.

11609851968 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 11609851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19887285600).

11609851968 is an abundant number, since it is smaller than the sum of its proper divisors (28164719232).

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

11609851968 is a wasteful number, since it uses less digits than its factorization.

11609851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 11609851968 in words is "eleven billion, six hundred nine million, eight hundred fifty-one thousand, nine hundred sixty-eight".