11301265140 has 192 divisors, whose sum is σ = 35740680192. Its totient is φ = 2643379200.

The previous prime is 11301265127. The next prime is 11301265141. The reversal of 11301265140 is 4156210311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11301265140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301265141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9472384 + ... + 9473576.

It is an arithmetic number, because the mean of its divisors is an integer number (186149376).

Almost surely, 2^11301265140 is an apocalyptic number.

11301265140 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 11301265140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870340096).

11301265140 is an abundant number, since it is smaller than the sum of its proper divisors (24439415052).

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

11301265140 is a wasteful number, since it uses less digits than its factorization.

11301265140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11301265140 its reverse (4156210311), we get a palindrome (15457475451).

The spelling of 11301265140 in words is "eleven billion, three hundred one million, two hundred sixty-five thousand, one hundred forty".