11771630208 has 160 divisors (see below), whose sum is σ = 37727395860. Its totient is φ = 3621998592.

The previous prime is 11771630197. The next prime is 11771630219. The reversal of 11771630208 is 80203617711.

11771630208 is a `hidden beast` number, since 1 + 17 + 7 + 1 + 630 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11771630197) and next prime (11771630219).

It can be written as a sum of positive squares in 2 ways, for example, as 10320934464 + 1450695744 = 101592^2 + 38088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91116 + ... + 178452.

Almost surely, 2^11771630208 is an apocalyptic number.

11771630208 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 11771630208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18863697930).

11771630208 is an abundant number, since it is smaller than the sum of its proper divisors (25955765652).

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

11771630208 is an equidigital number, since it uses as much as digits as its factorization.

11771630208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87376 (or 87355 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 11771630208 in words is "eleven billion, seven hundred seventy-one million, six hundred thirty thousand, two hundred eight".