10001006873060 has 24 divisors (see below), whose sum is σ = 24002416495680. Its totient is φ = 3428916642144.

The previous prime is 10001006873059. The next prime is 10001006873093. The reversal of 10001006873060 is 6037860010001.

It is a super-3 number, since 3×10001006873060³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35717881550 + ... + 35717881829.

It is an arithmetic number, because the mean of its divisors is an integer number (1000100687320).

Almost surely, 2^{10001006873060} is an apocalyptic number.

10001006873060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001006873060 is an abundant number, since it is smaller than the sum of its proper divisors (14001409622620).

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

10001006873060 is a wasteful number, since it uses less digits than its factorization.

10001006873060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71435763395 (or 71435763393 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 10001006873060 its reverse (6037860010001), we get a palindrome (16038866883061).

The spelling of 10001006873060 in words is "ten trillion, one billion, six million, eight hundred seventy-three thousand, sixty".