13070270282256 has 1280 divisors, whose sum is σ = 46880570880000. Its totient is φ = 3434876928000.

The previous prime is 13070270282213. The next prime is 13070270282257. The reversal of 13070270282256 is 65228207207031.

13070270282256 is a `hidden beast` number, since 1 + 30 + 70 + 27 + 0 + 282 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (13070270282257) 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 255 ways as a sum of consecutive naturals, for example, 9146444550 + ... + 9146445978.

It is an arithmetic number, because the mean of its divisors is an integer number (36625446000).

Almost surely, 2^{13070270282256} is an apocalyptic number.

13070270282256 is a gapful number since it is divisible by the number (16) 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 13070270282256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23440285440000).

13070270282256 is an abundant number, since it is smaller than the sum of its proper divisors (33810300597744).

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

13070270282256 is a wasteful number, since it uses less digits than its factorization.

13070270282256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 13070270282256 its reverse (65228207207031), we get a palindrome (78298477489287).

The spelling of 13070270282256 in words is "thirteen trillion, seventy billion, two hundred seventy million, two hundred eighty-two thousand, two hundred fifty-six".