11979391656960 has 3520 divisors, whose sum is σ = 56772618642432. Its totient is φ = 2345980133376.

The previous prime is 11979391656931. The next prime is 11979391656989. The reversal of 11979391656960 is 6965619397911.

11979391656960 is a `hidden beast` number, since 1 + 1 + 97 + 9 + 391 + 65 + 6 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11979391656931) and next prime (11979391656989).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 319 ways as a sum of consecutive naturals, for example, 32116331334 + ... + 32116331706.

Almost surely, 2^{11979391656960} is an apocalyptic number.

11979391656960 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 11979391656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28386309321216).

11979391656960 is an abundant number, since it is smaller than the sum of its proper divisors (44793226985472).

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

11979391656960 is a wasteful number, since it uses less digits than its factorization.

11979391656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 148803480, while the sum is 72.

The spelling of 11979391656960 in words is "eleven trillion, nine hundred seventy-nine billion, three hundred ninety-one million, six hundred fifty-six thousand, nine hundred sixty".