1365664221360 has 480 divisors, whose sum is σ = 4826331095040. Its totient is φ = 345626265600.

The previous prime is 1365664221289. The next prime is 1365664221401. The reversal of 1365664221360 is 631224665631.

1365664221360 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 6 + 64 + 221 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357408250 + ... + 357412070.

It is an arithmetic number, because the mean of its divisors is an integer number (10054856448).

Almost surely, 2^{1365664221360} is an apocalyptic number.

1365664221360 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 1365664221360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413165547520).

1365664221360 is an abundant number, since it is smaller than the sum of its proper divisors (3460666873680).

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

1365664221360 is a wasteful number, since it uses less digits than its factorization.

1365664221360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

Adding to 1365664221360 its reverse (631224665631), we get a palindrome (1996888886991).

The spelling of 1365664221360 in words is "one trillion, three hundred sixty-five billion, six hundred sixty-four million, two hundred twenty-one thousand, three hundred sixty".