1306254985600 has 384 divisors, whose sum is σ = 3601219507200. Its totient is φ = 466062336000.

The previous prime is 1306254985591. The next prime is 1306254985601. The reversal of 1306254985600 is 65894526031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306254985601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69728235 + ... + 69746965.

It is an arithmetic number, because the mean of its divisors is an integer number (9378175800).

Almost surely, 2^{1306254985600} is an apocalyptic number.

1306254985600 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 1306254985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800609753600).

1306254985600 is an abundant number, since it is smaller than the sum of its proper divisors (2294964521600).

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

1306254985600 is a wasteful number, since it uses less digits than its factorization.

1306254985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18842 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 1306254985600 in words is "one trillion, three hundred six billion, two hundred fifty-four million, nine hundred eighty-five thousand, six hundred".