11905522800000 has 384 divisors, whose sum is σ = 39911702987520. Its totient is φ = 3143950080000.

The previous prime is 11905522799999. The next prime is 11905522800071. The reversal of 11905522800000 is 822550911.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123551839 + ... + 123648161.

It is an arithmetic number, because the mean of its divisors is an integer number (103936726530).

Almost surely, 2^{11905522800000} is an apocalyptic number.

11905522800000 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 11905522800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955851493760).

11905522800000 is an abundant number, since it is smaller than the sum of its proper divisors (28006180187520).

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

11905522800000 is an frugal number, since it uses more digits than its factorization.

11905522800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96468 (or 96436 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 11905522800000 in words is "eleven trillion, nine hundred five billion, five hundred twenty-two million, eight hundred thousand".