11010733056 has 110 divisors (see below), whose sum is σ = 32880449250. Its totient is φ = 3670216704.

The previous prime is 11010733051. The next prime is 11010733061. The reversal of 11010733056 is 65033701011.

It is an interprime number because it is at equal distance from previous prime (11010733051) and next prime (11010733061).

It can be written as a sum of positive squares in only one way, i.e., 10453017600 + 557715456 = 102240^2 + 23616^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010733051) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16570 + ... + 149318.

It is an arithmetic number, because the mean of its divisors is an integer number (298913175).

Almost surely, 2^11010733056 is an apocalyptic number.

11010733056 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 11010733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440224625).

11010733056 is an abundant number, since it is smaller than the sum of its proper divisors (21869716194).

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

11010733056 is an equidigital number, since it uses as much as digits as its factorization.

11010733056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132781 (or 132754 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 11010733056 in words is "eleven billion, ten million, seven hundred thirty-three thousand, fifty-six".