11089740518976 has 224 divisors, whose sum is σ = 33948978380800. Its totient is φ = 3129441122304.

The previous prime is 11089740518953. The next prime is 11089740518981. The reversal of 11089740518976 is 67981504798011.

It is a tau number, because it is divible by the number of its divisors (224).

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, 37917750 + ... + 38209098.

It is an arithmetic number, because the mean of its divisors is an integer number (151557939200).

Almost surely, 2^{11089740518976} is an apocalyptic number.

11089740518976 is a gapful number since it is divisible by the number (16) 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 11089740518976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974489190400).

11089740518976 is an abundant number, since it is smaller than the sum of its proper divisors (22859237861824).

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

11089740518976 is a wasteful number, since it uses less digits than its factorization.

11089740518976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291721 (or 291711 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 66.

The spelling of 11089740518976 in words is "eleven trillion, eighty-nine billion, seven hundred forty million, five hundred eighteen thousand, nine hundred seventy-six".