13256782788480 has 1536 divisors, whose sum is σ = 57132959385600. Its totient is φ = 2577915002880.

The previous prime is 13256782788467. The next prime is 13256782788517. The reversal of 13256782788480 is 8488728765231.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1632001699 + ... + 1632009821.

It is an arithmetic number, because the mean of its divisors is an integer number (37195937100).

Almost surely, 2^{13256782788480} is an apocalyptic number.

13256782788480 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 13256782788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28566479692800).

13256782788480 is an abundant number, since it is smaller than the sum of its proper divisors (43876176597120).

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

13256782788480 is a wasteful number, since it uses less digits than its factorization.

13256782788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 69.

The spelling of 13256782788480 in words is "thirteen trillion, two hundred fifty-six billion, seven hundred eighty-two million, seven hundred eighty-eight thousand, four hundred eighty".