13078758161664 has 864 divisors, whose sum is σ = 45680933660544. Its totient is φ = 3694976040960.

The previous prime is 13078758161653. The next prime is 13078758161687. The reversal of 13078758161664 is 46616185787031.

13078758161664 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 8 + 7 + 5 + 8 + 1 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563655087 + ... + 563678289.

It is an arithmetic number, because the mean of its divisors is an integer number (52871450996).

Almost surely, 2^{13078758161664} 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 13078758161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840466830272).

13078758161664 is an abundant number, since it is smaller than the sum of its proper divisors (32602175498880).

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

13078758161664 is a wasteful number, since it uses less digits than its factorization.

13078758161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23305 (or 23279 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 13078758161664 in words is "thirteen trillion, seventy-eight billion, seven hundred fifty-eight million, one hundred sixty-one thousand, six hundred sixty-four".