13185211663360 has 704 divisors, whose sum is σ = 38353976492544. Its totient is φ = 4290196275200.

The previous prime is 13185211663333. The next prime is 13185211663397. The reversal of 13185211663360 is 6336611258131.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 13185211663360.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3809652030 + ... + 3809655490.

Almost surely, 2^{13185211663360} is an apocalyptic number.

13185211663360 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 13185211663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19176988246272).

13185211663360 is an abundant number, since it is smaller than the sum of its proper divisors (25168764829184).

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

13185211663360 is a wasteful number, since it uses less digits than its factorization.

13185211663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 13185211663360 in words is "thirteen trillion, one hundred eighty-five billion, two hundred eleven million, six hundred sixty-three thousand, three hundred sixty".