11805965860800 has 672 divisors, whose sum is σ = 41019581078784. Its totient is φ = 2968842240000.

The previous prime is 11805965860699. The next prime is 11805965860831. The reversal of 11805965860800 is 806856950811.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1000414900 + ... + 1000426700.

It is an arithmetic number, because the mean of its divisors is an integer number (61041043272).

Almost surely, 2^{11805965860800} is an apocalyptic number.

11805965860800 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 11805965860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20509790539392).

11805965860800 is an abundant number, since it is smaller than the sum of its proper divisors (29213615217984).

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

11805965860800 is a wasteful number, since it uses less digits than its factorization.

11805965860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 57.

The spelling of 11805965860800 in words is "eleven trillion, eight hundred five billion, nine hundred sixty-five million, eight hundred sixty thousand, eight hundred".