9956565360 has 560 divisors, whose sum is σ = 41082459840. Its totient is φ = 2197310976.

The previous prime is 9956565323. The next prime is 9956565397. The reversal of 9956565360 is 635656599.

9956565360 is a `hidden beast` number, since 9 + 9 + 56 + 56 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9956565323) and next prime (9956565397).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9956565297 and 9956565306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 343329826 + ... + 343329854.

Almost surely, 2^9956565360 is an apocalyptic number.

9956565360 is a gapful number since it is divisible by the number (90) 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 9956565360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541229920).

9956565360 is an abundant number, since it is smaller than the sum of its proper divisors (31125894480).

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

9956565360 is an frugal number, since it uses more digits than its factorization.

9956565360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The square root of 9956565360 is about 99782.5904654715. The cubic root of 9956565360 is about 2151.3109265001.

The spelling of 9956565360 in words is "nine billion, nine hundred fifty-six million, five hundred sixty-five thousand, three hundred sixty".