11303360640 has 384 divisors, whose sum is σ = 45859020480. Its totient is φ = 2529239040.

The previous prime is 11303360633. The next prime is 11303360641. The reversal of 11303360640 is 4606330311.

11303360640 is a `hidden beast` number, since 1 + 13 + 0 + 3 + 3 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (11303360641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816819 + ... + 830541.

Almost surely, 2^11303360640 is an apocalyptic number.

11303360640 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 11303360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929510240).

11303360640 is an abundant number, since it is smaller than the sum of its proper divisors (34555659840).

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

11303360640 is a wasteful number, since it uses less digits than its factorization.

11303360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13772 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11303360640 its reverse (4606330311), we get a palindrome (15909690951).

The spelling of 11303360640 in words is "eleven billion, three hundred three million, three hundred sixty thousand, six hundred forty".