9556617945600 has 1800 divisors, whose sum is σ = 41173586260884. Its totient is φ = 2179989504000.

The previous prime is 9556617945599. The next prime is 9556617945601. The reversal of 9556617945600 is 65497166559.

9556617945600 is a `hidden beast` number, since 9 + 5 + 5 + 6 + 6 + 17 + 9 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9556617945599) and next prime (9556617945601).

It can be written as a sum of positive squares in 6 ways, for example, as 6255681290496 + 3300936655104 = 2501136^2 + 1816848^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9556617945601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2132695360 + ... + 2132699840.

Almost surely, 2^{9556617945600} is an apocalyptic number.

9556617945600 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 9556617945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586793130442).

9556617945600 is an abundant number, since it is smaller than the sum of its proper divisors (31616968315284).

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

9556617945600 is a wasteful number, since it uses less digits than its factorization.

9556617945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 9556617945600 in words is "nine trillion, five hundred fifty-six billion, six hundred seventeen million, nine hundred forty-five thousand, six hundred".