11827732698080 has 576 divisors, whose sum is σ = 32762648886912. Its totient is φ = 4009198878720.

The previous prime is 11827732698059. The next prime is 11827732698083. The reversal of 11827732698080 is 8089623772811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11827732698083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4139912012 + ... + 4139914868.

It is an arithmetic number, because the mean of its divisors is an integer number (56879598762).

Almost surely, 2^{11827732698080} is an apocalyptic number.

11827732698080 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 11827732698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381324443456).

11827732698080 is an abundant number, since it is smaller than the sum of its proper divisors (20934916188832).

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

11827732698080 is a wasteful number, since it uses less digits than its factorization.

11827732698080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 62.

The spelling of 11827732698080 in words is "eleven trillion, eight hundred twenty-seven billion, seven hundred thirty-two million, six hundred ninety-eight thousand, eighty".