11779995125808 has 1440 divisors, whose sum is σ = 44259567206400. Its totient is φ = 2893866393600.

The previous prime is 11779995125779. The next prime is 11779995125831. The reversal of 11779995125808 is 80852159997711.

11779995125808 is a `hidden beast` number, since 1 + 17 + 7 + 9 + 99 + 512 + 5 + 8 + 0 + 8 = 666.

11779995125808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9210316113 + ... + 9210317391.

It is an arithmetic number, because the mean of its divisors is an integer number (30735810560).

Almost surely, 2^{11779995125808} is an apocalyptic number.

11779995125808 is a gapful number since it is divisible by the number (18) 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 11779995125808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129783603200).

11779995125808 is an abundant number, since it is smaller than the sum of its proper divisors (32479572080592).

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

11779995125808 is a wasteful number, since it uses less digits than its factorization.

11779995125808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 72.

The spelling of 11779995125808 in words is "eleven trillion, seven hundred seventy-nine billion, nine hundred ninety-five million, one hundred twenty-five thousand, eight hundred eight".