11776000000 has 224 divisors, whose sum is σ = 30719138040. Its totient is φ = 4505600000.

The previous prime is 11775999971. The next prime is 11776000007. The reversal of 11776000000 is 67711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11776000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 511999989 + ... + 512000011.

Almost surely, 2^11776000000 is an apocalyptic number.

11776000000 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 11776000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359569020).

11776000000 is an abundant number, since it is smaller than the sum of its proper divisors (18943138040).

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

11776000000 is an frugal number, since it uses more digits than its factorization.

11776000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

Adding to 11776000000 its reverse (67711), we get a palindrome (11776067711).

The spelling of 11776000000 in words is "eleven billion, seven hundred seventy-six million", and thus it is an aban number.