9959795505 has 64 divisors (see below), whose sum is σ = 19363276800. Its totient is φ = 4817165760.

The previous prime is 9959795473. The next prime is 9959795509. The reversal of 9959795505 is 5055979599.

9959795505 is a `hidden beast` number, since 9 + 9 + 5 + 9 + 79 + 550 + 5 = 666.

It is not a de Polignac number, because 9959795505 - 2⁵ = 9959795473 is a prime.

It is a super-4 number, since 4×9959795505⁴ (a number of 41 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9959795509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 614212 + ... + 630218.

It is an arithmetic number, because the mean of its divisors is an integer number (302551200).

Almost surely, 2^9959795505 is an apocalyptic number.

It is an amenable number.

9959795505 is a deficient number, since it is larger than the sum of its proper divisors (9403481295).

9959795505 is a wasteful number, since it uses less digits than its factorization.

9959795505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451 (or 16445 counting only the distinct ones).

The product of its (nonzero) digits is 28704375, while the sum is 63.

The square root of 9959795505 is about 99798.7750676330. The cubic root of 9959795505 is about 2151.5435467072.

The spelling of 9959795505 in words is "nine billion, nine hundred fifty-nine million, seven hundred ninety-five thousand, five hundred five".