11243071270080 has 896 divisors, whose sum is σ = 43388944220160. Its totient is φ = 2723934044160.

The previous prime is 11243071270073. The next prime is 11243071270159. The reversal of 11243071270080 is 8007217034211.

11243071270080 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 307 + 1 + 270 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8668519992 + ... + 8668521288.

It is an arithmetic number, because the mean of its divisors is an integer number (48425160960).

Almost surely, 2^{11243071270080} is an apocalyptic number.

11243071270080 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 11243071270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21694472110080).

11243071270080 is an abundant number, since it is smaller than the sum of its proper divisors (32145872950080).

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

11243071270080 is a wasteful number, since it uses less digits than its factorization.

11243071270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11243071270080 in words is "eleven trillion, two hundred forty-three billion, seventy-one million, two hundred seventy thousand, eighty".