13049895536640 has 960 divisors, whose sum is σ = 50736539533680. Its totient is φ = 3195241758720.

The previous prime is 13049895536627. The next prime is 13049895536641. The reversal of 13049895536640 is 4663559894031.

13049895536640 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 9 + 8 + 95 + 536 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1179500258304 + 11870395278336 = 1086048^2 + 3445344^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (13049895536641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 578108394 + ... + 578130966.

Almost surely, 2^{13049895536640} is an apocalyptic number.

13049895536640 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 13049895536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25368269766840).

13049895536640 is an abundant number, since it is smaller than the sum of its proper divisors (37686643997040).

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

13049895536640 is a wasteful number, since it uses less digits than its factorization.

13049895536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22670 (or 22641 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 13049895536640 in words is "thirteen trillion, forty-nine billion, eight hundred ninety-five million, five hundred thirty-six thousand, six hundred forty".