11271865820544 has 512 divisors, whose sum is σ = 38992527360000. Its totient is φ = 3138747107328.

The previous prime is 11271865820543. The next prime is 11271865820569. The reversal of 11271865820544 is 44502856817211.

11271865820544 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 8 + 6 + 582 + 0 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271865820543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 271727997 + ... + 271769475.

It is an arithmetic number, because the mean of its divisors is an integer number (76157280000).

Almost surely, 2^{11271865820544} is an apocalyptic number.

11271865820544 is a gapful number since it is divisible by the number (14) 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 11271865820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496263680000).

11271865820544 is an abundant number, since it is smaller than the sum of its proper divisors (27720661539456).

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

11271865820544 is a wasteful number, since it uses less digits than its factorization.

11271865820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41795 (or 41777 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 11271865820544 in words is "eleven trillion, two hundred seventy-one billion, eight hundred sixty-five million, eight hundred twenty thousand, five hundred forty-four".