13035260819664 has 240 divisors, whose sum is σ = 36996759805824. Its totient is φ = 4284019584000.

The previous prime is 13035260819657. The next prime is 13035260819677. The reversal of 13035260819664 is 46691806253031.

13035260819664 is a `hidden beast` number, since 1 + 30 + 3 + 526 + 0 + 81 + 9 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13035260819664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6116967879 + ... + 6116970009.

Almost surely, 2^{13035260819664} 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 13035260819664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498379902912).

13035260819664 is an abundant number, since it is smaller than the sum of its proper divisors (23961498986160).

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

13035260819664 is a wasteful number, since it uses less digits than its factorization.

13035260819664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13035260819664 in words is "thirteen trillion, thirty-five billion, two hundred sixty million, eight hundred nineteen thousand, six hundred sixty-four".