9905521761 has 24 divisors (see below), whose sum is σ = 14783311296. Its totient is φ = 6387806880.

The previous prime is 9905521751. The next prime is 9905521763. The reversal of 9905521761 is 1671255099.

9905521761 is a `hidden beast` number, since 9 + 90 + 552 + 1 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 9905521761 - 2⁶ = 9905521697 is a prime.

It is a super-2 number, since 2×9905521761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9905521763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112375 + ... + 180108.

It is an arithmetic number, because the mean of its divisors is an integer number (615971304).

Almost surely, 2^9905521761 is an apocalyptic number.

It is an amenable number.

9905521761 is a deficient number, since it is larger than the sum of its proper divisors (4877789535).

9905521761 is a wasteful number, since it uses less digits than its factorization.

9905521761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292613 (or 292610 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 9905521761 is about 99526.4877356777. The cubic root of 9905521761 is about 2147.6283031143.

The spelling of 9905521761 in words is "nine billion, nine hundred five million, five hundred twenty-one thousand, seven hundred sixty-one".