11996382360960 has 384 divisors, whose sum is σ = 42810072514560. Its totient is φ = 3092309544960.

The previous prime is 11996382360847. The next prime is 11996382360961. The reversal of 11996382360960 is 6906328369911.

11996382360960 is a `hidden beast` number, since 1 + 19 + 9 + 6 + 3 + 8 + 2 + 3 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11996382360961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158344849 + ... + 158420591.

It is an arithmetic number, because the mean of its divisors is an integer number (111484563840).

Almost surely, 2^{11996382360960} is an apocalyptic number.

11996382360960 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 11996382360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405036257280).

11996382360960 is an abundant number, since it is smaller than the sum of its proper divisors (30813690153600).

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

11996382360960 is a wasteful number, since it uses less digits than its factorization.

11996382360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76686 (or 76671 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 11996382360960 in words is "eleven trillion, nine hundred ninety-six billion, three hundred eighty-two million, three hundred sixty thousand, nine hundred sixty".