1307803112928 has 288 divisors, whose sum is σ = 4077203195520. Its totient is φ = 395208253440.

The previous prime is 1307803112809. The next prime is 1307803112933. The reversal of 1307803112928 is 8292113087031.

1307803112928 is a `hidden beast` number, since 1 + 307 + 8 + 0 + 311 + 2 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65311558 + ... + 65331578.

It is an arithmetic number, because the mean of its divisors is an integer number (14156955540).

Almost surely, 2^{1307803112928} is an apocalyptic number.

1307803112928 is a gapful number since it is divisible by the number (18) 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 1307803112928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038601597760).

1307803112928 is an abundant number, since it is smaller than the sum of its proper divisors (2769400082592).

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

1307803112928 is a wasteful number, since it uses less digits than its factorization.

1307803112928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20362 (or 20351 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 1307803112928 its reverse (8292113087031), we get a palindrome (9599916199959).

The spelling of 1307803112928 in words is "one trillion, three hundred seven billion, eight hundred three million, one hundred twelve thousand, nine hundred twenty-eight".