11831715568640 has 352 divisors, whose sum is σ = 31659158513664. Its totient is φ = 4205852098560.

The previous prime is 11831715568591. The next prime is 11831715568669. The reversal of 11831715568640 is 4686551713811.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2734390157 + ... + 2734394483.

It is an arithmetic number, because the mean of its divisors is an integer number (89940791232).

Almost surely, 2^{11831715568640} is an apocalyptic number.

11831715568640 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 11831715568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829579256832).

11831715568640 is an abundant number, since it is smaller than the sum of its proper divisors (19827442945024).

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

11831715568640 is a wasteful number, since it uses less digits than its factorization.

11831715568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5425 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 56.

The spelling of 11831715568640 in words is "eleven trillion, eight hundred thirty-one billion, seven hundred fifteen million, five hundred sixty-eight thousand, six hundred forty".