11905668218880 has 1056 divisors, whose sum is σ = 45013997993328. Its totient is φ = 2899102924800.

The previous prime is 11905668218879. The next prime is 11905668218887. The reversal of 11905668218880 is 8881286650911.

It can be written as a sum of positive squares in 8 ways, for example, as 672767410176 + 11232900808704 = 820224^2 + 3351552^2 .

It is not an unprimeable number, because it can be changed into a prime (11905668218887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65777172390 + ... + 65777172570.

Almost surely, 2^{11905668218880} is an apocalyptic number.

11905668218880 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 11905668218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506998996664).

11905668218880 is an abundant number, since it is smaller than the sum of its proper divisors (33108329774448).

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

11905668218880 is an frugal number, since it uses more digits than its factorization.

11905668218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 11905668218880 in words is "eleven trillion, nine hundred five billion, six hundred sixty-eight million, two hundred eighteen thousand, eight hundred eighty".