13115259835776 has 1280 divisors, whose sum is σ = 48198681400320. Its totient is φ = 3458665267200.

The previous prime is 13115259835757. The next prime is 13115259835789. The reversal of 13115259835776 is 67753895251131.

It is a happy number.

13115259835776 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 2 + 59 + 8 + 3 + 577 + 6 = 666.

13115259835776 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 2×13115259835776² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8090844246 + ... + 8090845866.

It is an arithmetic number, because the mean of its divisors is an integer number (37655219844).

Almost surely, 2^{13115259835776} is an apocalyptic number.

13115259835776 is a gapful number since it is divisible by the number (16) 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 13115259835776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099340700160).

13115259835776 is an abundant number, since it is smaller than the sum of its proper divisors (35083421564544).

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

13115259835776 is a wasteful number, since it uses less digits than its factorization.

13115259835776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1824 counting only the distinct ones).

The product of its digits is 47628000, while the sum is 63.

The spelling of 13115259835776 in words is "thirteen trillion, one hundred fifteen billion, two hundred fifty-nine million, eight hundred thirty-five thousand, seven hundred seventy-six".