11771100000 has 864 divisors, whose sum is σ = 48369091680. Its totient is φ = 2688000000.

The previous prime is 11771099939. The next prime is 11771100017. The reversal of 11771100000 is 117711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 287099980 + ... + 287100020.

It is an arithmetic number, because the mean of its divisors is an integer number (55982745).

Almost surely, 2^11771100000 is an apocalyptic number.

11771100000 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 11771100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24184545840).

11771100000 is an abundant number, since it is smaller than the sum of its proper divisors (36597991680).

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

11771100000 is a wasteful number, since it uses less digits than its factorization.

11771100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

Adding to 11771100000 its reverse (117711), we get a palindrome (11771217711).

11771100000 divided by its reverse (117711) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 117 and 71100000, that added together give a palindrome (71100117).

The spelling of 11771100000 in words is "eleven billion, seven hundred seventy-one million, one hundred thousand".