10221897168 has 160 divisors (see below), whose sum is σ = 33682129920. Its totient is φ = 2907480960.

The previous prime is 10221897163. The next prime is 10221897211. The reversal of 10221897168 is 86179812201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221897163) 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, 679003 + ... + 693893.

It is an arithmetic number, because the mean of its divisors is an integer number (210513312).

Almost surely, 2^10221897168 is an apocalyptic number.

10221897168 is a gapful number since it is divisible by the number (18) 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 10221897168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841064960).

10221897168 is an abundant number, since it is smaller than the sum of its proper divisors (23460232752).

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

10221897168 is a wasteful number, since it uses less digits than its factorization.

10221897168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10221897168 in words is "ten billion, two hundred twenty-one million, eight hundred ninety-seven thousand, one hundred sixty-eight".