10065517568340 has 48 divisors (see below), whose sum is σ = 30351406823808. Its totient is φ = 2477665862784.

The previous prime is 10065517568303. The next prime is 10065517568363. The reversal of 10065517568340 is 4386571556001.

It is a super-2 number, since 2×10065517568340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6452254072 + ... + 6452255631.

It is an arithmetic number, because the mean of its divisors is an integer number (632320975496).

Almost surely, 2^{10065517568340} is an apocalyptic number.

10065517568340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10065517568340 is an abundant number, since it is smaller than the sum of its proper divisors (20285889255468).

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

10065517568340 is a wasteful number, since it uses less digits than its factorization.

10065517568340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12904509728 (or 12904509726 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 10065517568340 in words is "ten trillion, sixty-five billion, five hundred seventeen million, five hundred sixty-eight thousand, three hundred forty".