12798253481328 has 240 divisors, whose sum is σ = 42815814612480. Its totient is φ = 3489309052416.

The previous prime is 12798253481317. The next prime is 12798253481339. The reversal of 12798253481328 is 82318435289721.

12798253481328 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 82 + 53 + 481 + 3 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (12798253481317) and next prime (12798253481339).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9055350 + ... + 10372842.

It is an arithmetic number, because the mean of its divisors is an integer number (178399227552).

Almost surely, 2^{12798253481328} is an apocalyptic number.

12798253481328 is a gapful number since it is divisible by the number (18) 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 12798253481328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21407907306240).

12798253481328 is an abundant number, since it is smaller than the sum of its proper divisors (30017561131152).

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

12798253481328 is a wasteful number, since it uses less digits than its factorization.

12798253481328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317956 (or 1317947 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 12798253481328 in words is "twelve trillion, seven hundred ninety-eight billion, two hundred fifty-three million, four hundred eighty-one thousand, three hundred twenty-eight".