11010006340 has 96 divisors (see below), whose sum is σ = 24115644000. Its totient is φ = 4219207680.

The previous prime is 11010006331. The next prime is 11010006341. The reversal of 11010006340 is 4360001011.

It can be written as a sum of positive squares in 16 ways, for example, as 10290479364 + 719526976 = 101442^2 + 26824^2 .

It is not an unprimeable number, because it can be changed into a prime (11010006341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11850996 + ... + 11851924.

It is an arithmetic number, because the mean of its divisors is an integer number (251204625).

Almost surely, 2^11010006340 is an apocalyptic number.

11010006340 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 11010006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12057822000).

11010006340 is an abundant number, since it is smaller than the sum of its proper divisors (13105637660).

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

11010006340 is a wasteful number, since it uses less digits than its factorization.

11010006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11010006340 its reverse (4360001011), we get a palindrome (15370007351).

The spelling of 11010006340 in words is "eleven billion, ten million, six thousand, three hundred forty".