1353360000 has 160 divisors (see below), whose sum is σ = 4492936800. Its totient is φ = 360832000.

The previous prime is 1353359977. The next prime is 1353360013. The reversal of 1353360000 is 633531.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237181 + ... + 242819.

It is an arithmetic number, because the mean of its divisors is an integer number (28080855).

Almost surely, 2^1353360000 is an apocalyptic number.

1353360000 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 1353360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246468400).

1353360000 is an abundant number, since it is smaller than the sum of its proper divisors (3139576800).

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

1353360000 is an frugal number, since it uses more digits than its factorization.

1353360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5676 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1353360000 is about 36788.0415352598. The cubic root of 1353360000 is about 1106.1256044491.

Adding to 1353360000 its reverse (633531), we get a palindrome (1353993531).

The spelling of 1353360000 in words is "one billion, three hundred fifty-three million, three hundred sixty thousand".