11979686160 has 640 divisors, whose sum is σ = 47146982400. Its totient is φ = 2808317952.

The previous prime is 11979686149. The next prime is 11979686161. The reversal of 11979686160 is 6168697911.

It is a happy number.

11979686160 is a `hidden beast` number, since 1 + 19 + 7 + 9 + 6 + 8 + 616 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11979686097 and 11979686106.

It is not an unprimeable number, because it can be changed into a prime (11979686161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 52312926 + ... + 52313154.

It is an arithmetic number, because the mean of its divisors is an integer number (73667160).

Almost surely, 2^11979686160 is an apocalyptic number.

11979686160 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 11979686160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23573491200).

11979686160 is an abundant number, since it is smaller than the sum of its proper divisors (35167296240).

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

11979686160 is a wasteful number, since it uses less digits than its factorization.

11979686160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11979686160 in words is "eleven billion, nine hundred seventy-nine million, six hundred eighty-six thousand, one hundred sixty".