11571317968896 has 351 divisors, whose sum is σ = 38896546926783. Its totient is φ = 3304784609280.

The previous prime is 11571317968867. The next prime is 11571317968897. The reversal of 11571317968896 is 69886971317511.

The square root of 11571317968896 is 3401664.

It is a perfect power (a square), and thus also a powerful number.

11571317968896 is a `hidden beast` number, since 11 + 57 + 1 + 317 + 96 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11571317968897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4571835151 + ... + 4571837681.

Almost surely, 2^{11571317968896} is an apocalyptic number.

11571317968896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11571317968896 is the 3401664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11571317968896

11571317968896 is an abundant number, since it is smaller than the sum of its proper divisors (27325228957887).

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

11571317968896 is an frugal number, since it uses more digits than its factorization.

11571317968896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 2543 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 72.

The spelling of 11571317968896 in words is "eleven trillion, five hundred seventy-one billion, three hundred seventeen million, nine hundred sixty-eight thousand, eight hundred ninety-six".