1300505632768 has 112 divisors (see below), whose sum is σ = 2649131100000. Its totient is φ = 638217879552.

The previous prime is 1300505632757. The next prime is 1300505632807. The reversal of 1300505632768 is 8672365050031.

It is a super-2 number, since 2×1300505632768² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371677483 + ... + 371680981.

It is an arithmetic number, because the mean of its divisors is an integer number (23652956250).

Almost surely, 2^{1300505632768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300505632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324565550000).

1300505632768 is an abundant number, since it is smaller than the sum of its proper divisors (1348625467232).

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

1300505632768 is an frugal number, since it uses more digits than its factorization.

1300505632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 1300505632768 in words is "one trillion, three hundred billion, five hundred five million, six hundred thirty-two thousand, seven hundred sixty-eight".