9885706560 has 392 divisors, whose sum is σ = 36459542016. Its totient is φ = 2549283840.

The previous prime is 9885706559. The next prime is 9885706603. The reversal of 9885706560 is 656075889.

9885706560 is a `hidden beast` number, since 9 + 8 + 8 + 5 + 70 + 6 + 560 = 666.

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 = 9885706497 and 9885706506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7230997 + ... + 7232363.

Almost surely, 2^9885706560 is an apocalyptic number.

9885706560 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 9885706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229771008).

9885706560 is an abundant number, since it is smaller than the sum of its proper divisors (26573835456).

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

9885706560 is a wasteful number, since it uses less digits than its factorization.

9885706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 9885706560 is about 99426.8905276636. The cubic root of 9885706560 is about 2146.1952944849.

The spelling of 9885706560 in words is "nine billion, eight hundred eighty-five million, seven hundred six thousand, five hundred sixty".