11963388602880 has 1920 divisors, whose sum is σ = 51888518922240. Its totient is φ = 2505495674880.

The previous prime is 11963388602861. The next prime is 11963388602887. The reversal of 11963388602880 is 8820688336911.

11963388602880 is a `hidden beast` number, since 1 + 19 + 6 + 3 + 3 + 8 + 8 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (11963388602887) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3561590641 + ... + 3561593999.

It is an arithmetic number, because the mean of its divisors is an integer number (27025270272).

Almost surely, 2^{11963388602880} is an apocalyptic number.

11963388602880 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 11963388602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944259461120).

11963388602880 is an abundant number, since it is smaller than the sum of its proper divisors (39925130319360).

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

11963388602880 is a wasteful number, since it uses less digits than its factorization.

11963388602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 11963388602880 in words is "eleven trillion, nine hundred sixty-three billion, three hundred eighty-eight million, six hundred two thousand, eight hundred eighty".