11340984130560 has 880 divisors, whose sum is σ = 47943960176640. Its totient is φ = 2508584878080.

The previous prime is 11340984130549. The next prime is 11340984130561. The reversal of 11340984130560 is 6503148904311.

11340984130560 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 0 + 9 + 84 + 1 + 3 + 0 + 560 = 666.

It is a super-2 number, since 2×11340984130560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340984130561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89931231 + ... + 90057249.

It is an arithmetic number, because the mean of its divisors is an integer number (54481772928).

Almost surely, 2^{11340984130560} is an apocalyptic number.

11340984130560 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 11340984130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23971980088320).

11340984130560 is an abundant number, since it is smaller than the sum of its proper divisors (36602976046080).

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

11340984130560 is a wasteful number, since it uses less digits than its factorization.

11340984130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126094 (or 126067 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11340984130560 in words is "eleven trillion, three hundred forty billion, nine hundred eighty-four million, one hundred thirty thousand, five hundred sixty".