13070080956384 has 576 divisors, whose sum is σ = 41606564073984. Its totient is φ = 3870743298048.

The previous prime is 13070080956343. The next prime is 13070080956479. The reversal of 13070080956384 is 48365908007031.

13070080956384 is a `hidden beast` number, since 1 + 3 + 0 + 70 + 0 + 8 + 0 + 9 + 563 + 8 + 4 = 666.

13070080956384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13070080956384² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13070080956384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3409880932 + ... + 3409884764.

It is an arithmetic number, because the mean of its divisors is an integer number (72233618184).

Almost surely, 2^{13070080956384} 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 13070080956384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803282036992).

13070080956384 is an abundant number, since it is smaller than the sum of its proper divisors (28536483117600).

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

13070080956384 is a wasteful number, since it uses less digits than its factorization.

13070080956384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13070080956384 in words is "thirteen trillion, seventy billion, eighty million, nine hundred fifty-six thousand, three hundred eighty-four".