10020060516906 has 192 divisors, whose sum is σ = 25040223411840. Its totient is φ = 2977204688640.

The previous prime is 10020060516899. The next prime is 10020060516919. The reversal of 10020060516906 is 60961506002001.

10020060516906 is a `hidden beast` number, since 10 + 0 + 20 + 0 + 605 + 16 + 9 + 0 + 6 = 666.

It is a super-2 number, since 2×10020060516906² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484214296 + ... + 484234988.

It is an arithmetic number, because the mean of its divisors is an integer number (130417830270).

Almost surely, 2^{10020060516906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020060516906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520111705920).

10020060516906 is an abundant number, since it is smaller than the sum of its proper divisors (15020162894934).

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

10020060516906 is a wasteful number, since it uses less digits than its factorization.

10020060516906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22483 (or 22471 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 10020060516906 its reverse (60961506002001), we get a palindrome (70981566518907).

The spelling of 10020060516906 in words is "ten trillion, twenty billion, sixty million, five hundred sixteen thousand, nine hundred six".