12540305511360 has 2688 divisors, whose sum is σ = 53834066657280. Its totient is φ = 2744052940800.

The previous prime is 12540305511359. The next prime is 12540305511373. The reversal of 12540305511360 is 6311550304521.

12540305511360 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 0 + 30 + 551 + 13 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40322525605 + ... + 40322525915.

It is an arithmetic number, because the mean of its divisors is an integer number (20027554560).

Almost surely, 2^{12540305511360} is an apocalyptic number.

12540305511360 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 12540305511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26917033328640).

12540305511360 is an abundant number, since it is smaller than the sum of its proper divisors (41293761145920).

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

12540305511360 is a wasteful number, since it uses less digits than its factorization.

12540305511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12540305511360 its reverse (6311550304521), we get a palindrome (18851855815881).

The spelling of 12540305511360 in words is "twelve trillion, five hundred forty billion, three hundred five million, five hundred eleven thousand, three hundred sixty".