13641070258880 has 168 divisors, whose sum is σ = 33723665354160. Its totient is φ = 5255363635200.

The previous prime is 13641070258861. The next prime is 13641070258901. The reversal of 13641070258880 is 8885207014631.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64781606 + ... + 64991834.

Almost surely, 2^{13641070258880} is an apocalyptic number.

13641070258880 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 13641070258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861832677080).

13641070258880 is an abundant number, since it is smaller than the sum of its proper divisors (20082595095280).

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

13641070258880 is a wasteful number, since it uses less digits than its factorization.

13641070258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210519 (or 210478 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 13641070258880 in words is "thirteen trillion, six hundred forty-one billion, seventy million, two hundred fifty-eight thousand, eight hundred eighty".