13059585284256 has 288 divisors, whose sum is σ = 42653748953088. Its totient is φ = 3712868928000.

The previous prime is 13059585284203. The next prime is 13059585284269. The reversal of 13059585284256 is 65248258595031.

It is a happy number.

13059585284256 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 9 + 58 + 528 + 4 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 13059585284193 and 13059585284202.

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, 550027521 + ... + 550051263.

It is an arithmetic number, because the mean of its divisors is an integer number (148103294976).

Almost surely, 2^{13059585284256} is an apocalyptic number.

13059585284256 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 13059585284256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326874476544).

13059585284256 is an abundant number, since it is smaller than the sum of its proper divisors (29594163668832).

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

13059585284256 is a wasteful number, since it uses less digits than its factorization.

13059585284256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25104 (or 25093 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 13059585284256 in words is "thirteen trillion, fifty-nine billion, five hundred eighty-five million, two hundred eighty-four thousand, two hundred fifty-six".