11466769198080 has 1056 divisors, whose sum is σ = 45454852719360. Its totient is φ = 2452859781120.

The previous prime is 11466769198039. The next prime is 11466769198081. The reversal of 11466769198080 is 8089196766411.

It is not an unprimeable number, because it can be changed into a prime (11466769198081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1186908450 + ... + 1186918110.

Almost surely, 2^{11466769198080} is an apocalyptic number.

11466769198080 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 11466769198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727426359680).

11466769198080 is an abundant number, since it is smaller than the sum of its proper divisors (33988083521280).

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

11466769198080 is a wasteful number, since it uses less digits than its factorization.

11466769198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 66.

The spelling of 11466769198080 in words is "eleven trillion, four hundred sixty-six billion, seven hundred sixty-nine million, one hundred ninety-eight thousand, eighty".