12903613515360 has 720 divisors, whose sum is σ = 48530372226336. Its totient is φ = 3228090568704.

The previous prime is 12903613515263. The next prime is 12903613515367. The reversal of 12903613515360 is 6351531630921.

12903613515360 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 61 + 3 + 51 + 536 + 0 = 666.

12903613515360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 (12903613515367) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 481878292 + ... + 481905068.

Almost surely, 2^{12903613515360} is an apocalyptic number.

12903613515360 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 12903613515360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24265186113168).

12903613515360 is an abundant number, since it is smaller than the sum of its proper divisors (35626758710976).

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

12903613515360 is a wasteful number, since it uses less digits than its factorization.

12903613515360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26945 (or 26909 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 12903613515360 in words is "twelve trillion, nine hundred three billion, six hundred thirteen million, five hundred fifteen thousand, three hundred sixty".