9856546560 has 576 divisors, whose sum is σ = 40547727360. Its totient is φ = 2248445952.

The previous prime is 9856546543. The next prime is 9856546589. The reversal of 9856546560 is 656456589.

9856546560 is a `hidden beast` number, since 98 + 5 + 6 + 546 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 9856546497 and 9856546506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595269 + ... + 19595771.

It is an arithmetic number, because the mean of its divisors is an integer number (70395360).

Almost surely, 2^9856546560 is an apocalyptic number.

9856546560 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 9856546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273863680).

9856546560 is an abundant number, since it is smaller than the sum of its proper divisors (30691180800).

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

9856546560 is an frugal number, since it uses more digits than its factorization.

9856546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The square root of 9856546560 is about 99280.1418210107. The cubic root of 9856546560 is about 2144.0829959703.

The spelling of 9856546560 in words is "nine billion, eight hundred fifty-six million, five hundred forty-six thousand, five hundred sixty".