11201300640 has 144 divisors (see below), whose sum is σ = 38268580896. Its totient is φ = 2983564800.

The previous prime is 11201300569. The next prime is 11201300647. The reversal of 11201300640 is 4600310211.

It is a happy number.

11201300640 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 3 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11201300647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394235 + ... + 1402245.

It is an arithmetic number, because the mean of its divisors is an integer number (265754034).

Almost surely, 2^11201300640 is an apocalyptic number.

11201300640 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 11201300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19134290448).

11201300640 is an abundant number, since it is smaller than the sum of its proper divisors (27067280256).

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

11201300640 is a wasteful number, since it uses less digits than its factorization.

11201300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003 (or 8992 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11201300640 its reverse (4600310211), we get a palindrome (15801610851).

The spelling of 11201300640 in words is "eleven billion, two hundred one million, three hundred thousand, six hundred forty".