13059944384256 has 216 divisors, whose sum is σ = 46946543140224. Its totient is φ = 3392193300480.

The previous prime is 13059944384231. The next prime is 13059944384273. The reversal of 13059944384256 is 65248344995031.

It is a happy number.

13059944384256 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 99 + 443 + 84 + 25 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 = 13059944384193 and 13059944384202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36630246 + ... + 36985061.

Almost surely, 2^{13059944384256} is an apocalyptic number.

13059944384256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13059944384256 is an abundant number, since it is smaller than the sum of its proper divisors (33886598755968).

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

13059944384256 is a wasteful number, since it uses less digits than its factorization.

13059944384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73615347 (or 73615330 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 13059944384256 in words is "thirteen trillion, fifty-nine billion, nine hundred forty-four million, three hundred eighty-four thousand, two hundred fifty-six".