13256541706320 has 2400 divisors, whose sum is σ = 55613848485888. Its totient is φ = 2912329728000.

The previous prime is 13256541706319. The next prime is 13256541706367. The reversal of 13256541706320 is 2360714565231.

13256541706320 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 6 + 5 + 4 + 1 + 7 + 0 + 632 + 0 = 666.

It is a super-2 number, since 2×13256541706320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 479 ways as a sum of consecutive naturals, for example, 69405977425 + ... + 69405977615.

Almost surely, 2^{13256541706320} is an apocalyptic number.

13256541706320 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 13256541706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27806924242944).

13256541706320 is an abundant number, since it is smaller than the sum of its proper divisors (42357306779568).

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

13256541706320 is a wasteful number, since it uses less digits than its factorization.

13256541706320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13256541706320 in words is "thirteen trillion, two hundred fifty-six billion, five hundred forty-one million, seven hundred six thousand, three hundred twenty".