13256515235520 has 336 divisors, whose sum is σ = 47293839055008. Its totient is φ = 3534459494400.

The previous prime is 13256515235519. The next prime is 13256515235543. The reversal of 13256515235520 is 2553251565231.

It is a happy number.

13256515235520 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 6 + 51 + 523 + 55 + 20 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 614370972 + ... + 614392548.

It is an arithmetic number, because the mean of its divisors is an integer number (140755473378).

Almost surely, 2^{13256515235520} is an apocalyptic number.

13256515235520 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 13256515235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646919527504).

13256515235520 is an abundant number, since it is smaller than the sum of its proper divisors (34037323819488).

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

13256515235520 is an equidigital number, since it uses as much as digits as its factorization.

13256515235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29510 (or 29488 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 13256515235520 in words is "thirteen trillion, two hundred fifty-six billion, five hundred fifteen million, two hundred thirty-five thousand, five hundred twenty".