9905220657 has 48 divisors (see below), whose sum is σ = 16082726400. Its totient is φ = 5845271040.

The previous prime is 9905220653. The next prime is 9905220707. The reversal of 9905220657 is 7560225099.

It is not a de Polignac number, because 9905220657 - 2² = 9905220653 is a prime.

It is a super-2 number, since 2×9905220657² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9905220653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121513 + ... + 185945.

It is an arithmetic number, because the mean of its divisors is an integer number (335056800).

Almost surely, 2^9905220657 is an apocalyptic number.

It is an amenable number.

9905220657 is a deficient number, since it is larger than the sum of its proper divisors (6177505743).

9905220657 is a wasteful number, since it uses less digits than its factorization.

9905220657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64518 (or 64515 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 9905220657 is about 99524.9750414437. The cubic root of 9905220657 is about 2147.6065419849.

The spelling of 9905220657 in words is "nine billion, nine hundred five million, two hundred twenty thousand, six hundred fifty-seven".