1300263307200 has 1008 divisors, whose sum is σ = 5562172560672. Its totient is φ = 283852800000.

The previous prime is 1300263307199. The next prime is 1300263307219. The reversal of 1300263307200 is 27033620031.

1300263307200 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 2 + 633 + 0 + 7 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84419500 + ... + 84434900.

It is an arithmetic number, because the mean of its divisors is an integer number (5518028334).

Almost surely, 2^{1300263307200} is an apocalyptic number.

1300263307200 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 1300263307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781086280336).

1300263307200 is an abundant number, since it is smaller than the sum of its proper divisors (4261909253472).

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

1300263307200 is a wasteful number, since it uses less digits than its factorization.

1300263307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15494 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

Adding to 1300263307200 its reverse (27033620031), we get a palindrome (1327296927231).

The spelling of 1300263307200 in words is "one trillion, three hundred billion, two hundred sixty-three million, three hundred seven thousand, two hundred".