11979848160 has 960 divisors, whose sum is σ = 51390484992. Its totient is φ = 2570932224.

The previous prime is 11979848147. The next prime is 11979848171. The reversal of 11979848160 is 6184897911.

11979848160 is a `hidden beast` number, since 1 + 19 + 7 + 98 + 481 + 60 = 666.

11979848160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11979848097 and 11979848106.

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 159 ways as a sum of consecutive naturals, for example, 144335479 + ... + 144335561.

Almost surely, 2^11979848160 is an apocalyptic number.

11979848160 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 11979848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695242496).

11979848160 is an abundant number, since it is smaller than the sum of its proper divisors (39410636832).

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

11979848160 is a wasteful number, since it uses less digits than its factorization.

11979848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11979848160 in words is "eleven billion, nine hundred seventy-nine million, eight hundred forty-eight thousand, one hundred sixty".