11669704795890 has 192 divisors, whose sum is σ = 31860107136000. Its totient is φ = 2959631424000.

The previous prime is 11669704795871. The next prime is 11669704795919. The reversal of 11669704795890 is 9859740796611.

11669704795890 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 9 + 70 + 479 + 5 + 89 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715880740 + ... + 715897040.

It is an arithmetic number, because the mean of its divisors is an integer number (165938058000).

Almost surely, 2^{11669704795890} is an apocalyptic number.

11669704795890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11669704795890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930053568000).

11669704795890 is an abundant number, since it is smaller than the sum of its proper divisors (20190402340110).

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

11669704795890 is a wasteful number, since it uses less digits than its factorization.

11669704795890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 11669704795890 in words is "eleven trillion, six hundred sixty-nine billion, seven hundred four million, seven hundred ninety-five thousand, eight hundred ninety".