15600145718240 has 384 divisors, whose sum is σ = 40790905344000. Its totient is φ = 5615541043200.

The previous prime is 15600145718189. The next prime is 15600145718249. The reversal of 15600145718240 is 4281754100651.

It is a junction number, because it is equal to n+sod(n) for n = 15600145718191 and 15600145718200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15600145718249) 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, 1165836350 + ... + 1165849730.

It is an arithmetic number, because the mean of its divisors is an integer number (106226316000).

Almost surely, 2^{15600145718240} is an apocalyptic number.

15600145718240 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 15600145718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395452672000).

15600145718240 is an abundant number, since it is smaller than the sum of its proper divisors (25190759625760).

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

15600145718240 is a wasteful number, since it uses less digits than its factorization.

15600145718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13666 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

Adding to 15600145718240 its reverse (4281754100651), we get a palindrome (19881899818891).

The spelling of 15600145718240 in words is "fifteen trillion, six hundred billion, one hundred forty-five million, seven hundred eighteen thousand, two hundred forty".