10217588065872 has 160 divisors (see below), whose sum is σ = 29228297602560. Its totient is φ = 3049661007360.

The previous prime is 10217588065849. The next prime is 10217588065873. The reversal of 10217588065872 is 27856088571201.

It is a happy number.

It is a super-2 number, since 2×10217588065872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217588065873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498189954 + ... + 498210462.

It is an arithmetic number, because the mean of its divisors is an integer number (182676860016).

Almost surely, 2^{10217588065872} is an apocalyptic number.

10217588065872 is a gapful number since it is divisible by the number (12) 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 10217588065872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14614148801280).

10217588065872 is an abundant number, since it is smaller than the sum of its proper divisors (19010709536688).

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

10217588065872 is a wasteful number, since it uses less digits than its factorization.

10217588065872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34681 (or 34675 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 60.

The spelling of 10217588065872 in words is "ten trillion, two hundred seventeen billion, five hundred eighty-eight million, sixty-five thousand, eight hundred seventy-two".