11799217166880 has 768 divisors, whose sum is σ = 44337293844480. Its totient is φ = 2599850803200.

The previous prime is 11799217166857. The next prime is 11799217166917. The reversal of 11799217166880 is 8866171299711.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7568451541 + ... + 7568453099.

It is an arithmetic number, because the mean of its divisors is an integer number (57730851360).

Almost surely, 2^{11799217166880} is an apocalyptic number.

11799217166880 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 11799217166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168646922240).

11799217166880 is an abundant number, since it is smaller than the sum of its proper divisors (32538076677600).

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

11799217166880 is a wasteful number, since it uses less digits than its factorization.

11799217166880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 66.

The spelling of 11799217166880 in words is "eleven trillion, seven hundred ninety-nine billion, two hundred seventeen million, one hundred sixty-six thousand, eight hundred eighty".