11968709990400 has 2304 divisors, whose sum is σ = 47776817088000. Its totient is φ = 2930599526400.

The previous prime is 11968709990389. The next prime is 11968709990407. The reversal of 11968709990400 is 409990786911.

11968709990400 is a `hidden beast` number, since 1 + 19 + 68 + 70 + 9 + 9 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968709990407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91364198335 + ... + 91364198465.

It is an arithmetic number, because the mean of its divisors is an integer number (20736465750).

Almost surely, 2^{11968709990400} is an apocalyptic number.

11968709990400 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 11968709990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888408544000).

11968709990400 is an abundant number, since it is smaller than the sum of its proper divisors (35808107097600).

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

11968709990400 is a wasteful number, since it uses less digits than its factorization.

11968709990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 11968709990400 in words is "eleven trillion, nine hundred sixty-eight billion, seven hundred nine million, nine hundred ninety thousand, four hundred".