11567767680 has 256 divisors, whose sum is σ = 46822406400. Its totient is φ = 2644033536.

The previous prime is 11567767667. The next prime is 11567767709. The reversal of 11567767680 is 8676776511.

11567767680 is a `hidden beast` number, since 1 + 1 + 567 + 7 + 6 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 73144 + ... + 168776.

It is an arithmetic number, because the mean of its divisors is an integer number (182900025).

Almost surely, 2^11567767680 is an apocalyptic number.

11567767680 is a gapful number since it is divisible by the number (10) 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 11567767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23411203200).

11567767680 is an abundant number, since it is smaller than the sum of its proper divisors (35254638720).

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

11567767680 is an equidigital number, since it uses as much as digits as its factorization.

11567767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95668 (or 95650 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 11567767680 in words is "eleven billion, five hundred sixty-seven million, seven hundred sixty-seven thousand, six hundred eighty".