13086958540800 has 576 divisors, whose sum is σ = 44255732451840. Its totient is φ = 3410073354240.

The previous prime is 13086958540793. The next prime is 13086958540907. The reversal of 13086958540800 is 804585968031.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6374552574 + ... + 6374554626.

It is an arithmetic number, because the mean of its divisors is an integer number (76832868840).

Almost surely, 2^{13086958540800} is an apocalyptic number.

13086958540800 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 13086958540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127866225920).

13086958540800 is an abundant number, since it is smaller than the sum of its proper divisors (31168773911040).

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

13086958540800 is a wasteful number, since it uses less digits than its factorization.

13086958540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 13086958540800 in words is "thirteen trillion, eighty-six billion, nine hundred fifty-eight million, five hundred forty thousand, eight hundred".