1353301663360 has 64 divisors (see below), whose sum is σ = 3237897022920. Its totient is φ = 540875554816.

The previous prime is 1353301663331. The next prime is 1353301663369. The reversal of 1353301663360 is 633661033531.

It can be written as a sum of positive squares in 4 ways, for example, as 516018102336 + 837283561024 = 718344^2 + 915032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1353301663369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89869 + ... + 1647628.

Almost surely, 2^{1353301663360} is an apocalyptic number.

1353301663360 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 1353301663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618948511460).

1353301663360 is an abundant number, since it is smaller than the sum of its proper divisors (1884595359560).

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

1353301663360 is a wasteful number, since it uses less digits than its factorization.

1353301663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738733 (or 1738721 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 40.

Adding to 1353301663360 its reverse (633661033531), we get a palindrome (1986962696891).

The spelling of 1353301663360 in words is "one trillion, three hundred fifty-three billion, three hundred one million, six hundred sixty-three thousand, three hundred sixty".