10217375869860 has 288 divisors, whose sum is σ = 32073088320000. Its totient is φ = 2630813644800.

The previous prime is 10217375869829. The next prime is 10217375869861. The reversal of 10217375869860 is 6896857371201.

10217375869860 is a `hidden beast` number, since 1 + 0 + 2 + 17 + 37 + 586 + 9 + 8 + 6 + 0 = 666.

10217375869860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10217375869861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135385641 + ... + 1135394639.

It is an arithmetic number, because the mean of its divisors is an integer number (111364890000).

Almost surely, 2^{10217375869860} is an apocalyptic number.

10217375869860 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 10217375869860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16036544160000).

10217375869860 is an abundant number, since it is smaller than the sum of its proper divisors (21855712450140).

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

10217375869860 is a wasteful number, since it uses less digits than its factorization.

10217375869860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 10217375869860 in words is "ten trillion, two hundred seventeen billion, three hundred seventy-five million, eight hundred sixty-nine thousand, eight hundred sixty".