11967206933880 has 1792 divisors, whose sum is σ = 48330424396800. Its totient is φ = 2633906626560.

The previous prime is 11967206933863. The next prime is 11967206933923. The reversal of 11967206933880 is 8833960276911.

11967206933880 is a `hidden beast` number, since 1 + 1 + 96 + 7 + 206 + 9 + 338 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 16461082077 + ... + 16461082803.

It is an arithmetic number, because the mean of its divisors is an integer number (26970102900).

Almost surely, 2^{11967206933880} is an apocalyptic number.

11967206933880 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 11967206933880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165212198400).

11967206933880 is an abundant number, since it is smaller than the sum of its proper divisors (36363217462920).

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

11967206933880 is a wasteful number, since it uses less digits than its factorization.

11967206933880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 11967206933880 in words is "eleven trillion, nine hundred sixty-seven billion, two hundred six million, nine hundred thirty-three thousand, eight hundred eighty".