11935561968 has 360 divisors, whose sum is σ = 39929111040. Its totient is φ = 3313094400.

The previous prime is 11935561951. The next prime is 11935561991. The reversal of 11935561968 is 86916553911.

11935561968 is a `hidden beast` number, since 1 + 19 + 3 + 5 + 5 + 619 + 6 + 8 = 666.

11935561968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10262155 + ... + 10263317.

Almost surely, 2^11935561968 is an apocalyptic number.

11935561968 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 11935561968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964555520).

11935561968 is an abundant number, since it is smaller than the sum of its proper divisors (27993549072).

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

11935561968 is a wasteful number, since it uses less digits than its factorization.

11935561968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 11935561968 in words is "eleven billion, nine hundred thirty-five million, five hundred sixty-one thousand, nine hundred sixty-eight".