11787304968 has 192 divisors, whose sum is σ = 35212320000. Its totient is φ = 3547514880.

The previous prime is 11787304951. The next prime is 11787304973. The reversal of 11787304968 is 86940378711.

11787304968 is a `hidden beast` number, since 11 + 78 + 73 + 0 + 496 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3132208 + ... + 3135968.

It is an arithmetic number, because the mean of its divisors is an integer number (183397500).

Almost surely, 2^11787304968 is an apocalyptic number.

11787304968 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 11787304968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606160000).

11787304968 is an abundant number, since it is smaller than the sum of its proper divisors (23425015032).

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

11787304968 is a wasteful number, since it uses less digits than its factorization.

11787304968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11787304968 in words is "eleven billion, seven hundred eighty-seven million, three hundred four thousand, nine hundred sixty-eight".