13135285735680 has 288 divisors, whose sum is σ = 42154307435520. Its totient is φ = 3485776896000.

The previous prime is 13135285735597. The next prime is 13135285735681. The reversal of 13135285735680 is 8653758253131.

It is a self number, because there is not a number n which added to its sum of digits gives 13135285735680.

It is not an unprimeable number, because it can be changed into a prime (13135285735681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1255878291 + ... + 1255888749.

It is an arithmetic number, because the mean of its divisors is an integer number (146369123040).

Almost surely, 2^{13135285735680} is an apocalyptic number.

13135285735680 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 13135285735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077153717760).

13135285735680 is an abundant number, since it is smaller than the sum of its proper divisors (29019021699840).

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

13135285735680 is a wasteful number, since it uses less digits than its factorization.

13135285735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12037 (or 12023 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 13135285735680 in words is "thirteen trillion, one hundred thirty-five billion, two hundred eighty-five million, seven hundred thirty-five thousand, six hundred eighty".