13255251195648 has 1152 divisors, whose sum is σ = 47359293456384. Its totient is φ = 3189694464000.

The previous prime is 13255251195629. The next prime is 13255251195727. The reversal of 13255251195648 is 84659115255231.

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 127 ways as a sum of consecutive naturals, for example, 6456526590 + ... + 6456528642.

It is an arithmetic number, because the mean of its divisors is an integer number (41110497792).

Almost surely, 2^{13255251195648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13255251195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23679646728192).

13255251195648 is an abundant number, since it is smaller than the sum of its proper divisors (34104042260736).

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

13255251195648 is a wasteful number, since it uses less digits than its factorization.

13255251195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2247 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 57.

The spelling of 13255251195648 in words is "thirteen trillion, two hundred fifty-five billion, two hundred fifty-one million, one hundred ninety-five thousand, six hundred forty-eight".