1306585728000 has 2112 divisors, whose sum is σ = 5925289563648. Its totient is φ = 280284364800.

The previous prime is 1306585727963. The next prime is 1306585728001. The reversal of 1306585728000 is 8275856031.

1306585728000 is a `hidden beast` number, since 13 + 0 + 65 + 8 + 572 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1306585728000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1306585728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3701375824 + ... + 3701376176.

Almost surely, 2^{1306585728000} is an apocalyptic number.

1306585728000 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 1306585728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962644781824).

1306585728000 is an abundant number, since it is smaller than the sum of its proper divisors (4618703835648).

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

1306585728000 is an equidigital number, since it uses as much as digits as its factorization.

1306585728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1306585728000 in words is "one trillion, three hundred six billion, five hundred eighty-five million, seven hundred twenty-eight thousand".