11788138656 has 240 divisors, whose sum is σ = 40216752576. Its totient is φ = 3317428224.

The previous prime is 11788138627. The next prime is 11788138673. The reversal of 11788138656 is 65683188711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1210800 + ... + 1220496.

Almost surely, 2^11788138656 is an apocalyptic number.

11788138656 is a gapful number since it is divisible by the number (16) 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 11788138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108376288).

11788138656 is an abundant number, since it is smaller than the sum of its proper divisors (28428613920).

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

11788138656 is an equidigital number, since it uses as much as digits as its factorization.

11788138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9776 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11788138656 in words is "eleven billion, seven hundred eighty-eight million, one hundred thirty-eight thousand, six hundred fifty-six".