11777831208 has 144 divisors (see below), whose sum is σ = 37759181460. Its totient is φ = 3294466560.

The previous prime is 11777831201. The next prime is 11777831239. The reversal of 11777831208 is 80213877711.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8870249124 + 2907582084 = 94182^2 + 53922^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11777831201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61260 + ... + 165252.

Almost surely, 2^11777831208 is an apocalyptic number.

11777831208 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 11777831208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879590730).

11777831208 is an abundant number, since it is smaller than the sum of its proper divisors (25981350252).

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

11777831208 is a wasteful number, since it uses less digits than its factorization.

11777831208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104040 (or 104022 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 11777831208 in words is "eleven billion, seven hundred seventy-seven million, eight hundred thirty-one thousand, two hundred eight".