1304720511360 has 512 divisors, whose sum is σ = 4891400110080. Its totient is φ = 289630248960.

The previous prime is 1304720511349. The next prime is 1304720511371. The reversal of 1304720511360 is 631150274031.

It is an interprime number because it is at equal distance from previous prime (1304720511349) and next prime (1304720511371).

It is a super-2 number, since 2×1304720511360² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82742197 + ... + 82757963.

It is an arithmetic number, because the mean of its divisors is an integer number (9553515840).

Almost surely, 2^{1304720511360} is an apocalyptic number.

1304720511360 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 1304720511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445700055040).

1304720511360 is an abundant number, since it is smaller than the sum of its proper divisors (3586679598720).

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

1304720511360 is a wasteful number, since it uses less digits than its factorization.

1304720511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15974 (or 15962 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 1304720511360 its reverse (631150274031), we get a palindrome (1935870785391).

The spelling of 1304720511360 in words is "one trillion, three hundred four billion, seven hundred twenty million, five hundred eleven thousand, three hundred sixty".