13256580040704 has 3456 divisors, whose sum is σ = 56562860390400. Its totient is φ = 3006049812480.

The previous prime is 13256580040703. The next prime is 13256580040751. The reversal of 13256580040704 is 40704008565231.

13256580040704 is a `hidden beast` number, since 1 + 3 + 2 + 565 + 80 + 0 + 4 + 0 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a self number, because there is not a number n which added to its sum of digits gives 13256580040704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13256580040703) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148950337492 + ... + 148950337580.

It is an arithmetic number, because the mean of its divisors is an integer number (16366568400).

Almost surely, 2^{13256580040704} is an apocalyptic number.

13256580040704 is a gapful number since it is divisible by the number (14) 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 13256580040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28281430195200).

13256580040704 is an abundant number, since it is smaller than the sum of its proper divisors (43306280349696).

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

13256580040704 is a wasteful number, since it uses less digits than its factorization.

13256580040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 13256580040704 in words is "thirteen trillion, two hundred fifty-six billion, five hundred eighty million, forty thousand, seven hundred four".