9961585756 has 18 divisors (see below), whose sum is σ = 17997130592. Its totient is φ = 4819584360.

The previous prime is 9961585747. The next prime is 9961585757. The reversal of 9961585756 is 6575851699.

It is a junction number, because it is equal to n+sod(n) for n = 9961585694 and 9961585703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9961585757) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1106931 + ... + 1115893.

Almost surely, 2^9961585756 is an apocalyptic number.

It is an amenable number.

9961585756 is a deficient number, since it is larger than the sum of its proper divisors (8035544836).

9961585756 is an frugal number, since it uses more digits than its factorization.

9961585756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17961 (or 8996 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 61.

The square root of 9961585756 is about 99807.7439680910. The cubic root of 9961585756 is about 2151.6724507000.

The spelling of 9961585756 in words is "nine billion, nine hundred sixty-one million, five hundred eighty-five thousand, seven hundred fifty-six".