13361261450880 has 768 divisors, whose sum is σ = 50309314099200. Its totient is φ = 3007065858048.

The previous prime is 13361261450813. The next prime is 13361261450893. The reversal of 13361261450880 is 8805416216331.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 1734549109 + ... + 1734556811.

It is an arithmetic number, because the mean of its divisors is an integer number (65506919400).

Almost surely, 2^{13361261450880} is an apocalyptic number.

13361261450880 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 13361261450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25154657049600).

13361261450880 is an abundant number, since it is smaller than the sum of its proper divisors (36948052648320).

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

13361261450880 is a wasteful number, since it uses less digits than its factorization.

13361261450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 13361261450880 in words is "thirteen trillion, three hundred sixty-one billion, two hundred sixty-one million, four hundred fifty thousand, eight hundred eighty".