1306516995840 has 432 divisors, whose sum is σ = 4902074100000. Its totient is φ = 295671398400.

The previous prime is 1306516995803. The next prime is 1306516995899. The reversal of 1306516995840 is 485996156031.

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, 18969786 + ... + 19038534.

It is an arithmetic number, because the mean of its divisors is an integer number (11347393750).

Almost surely, 2^{1306516995840} is an apocalyptic number.

1306516995840 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 1306516995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451037050000).

1306516995840 is an abundant number, since it is smaller than the sum of its proper divisors (3595557104160).

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

1306516995840 is a wasteful number, since it uses less digits than its factorization.

1306516995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68888 (or 68867 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 1306516995840 in words is "one trillion, three hundred six billion, five hundred sixteen million, nine hundred ninety-five thousand, eight hundred forty".