9855089664 has 176 divisors, whose sum is σ = 30589843968. Its totient is φ = 2762293248.

The previous prime is 9855089659. The next prime is 9855089683. The reversal of 9855089664 is 4669805589.

It is a junction number, because it is equal to n+sod(n) for n = 9855089598 and 9855089607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135389 + ... + 1144035.

Almost surely, 2^9855089664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9855089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294921984).

9855089664 is an abundant number, since it is smaller than the sum of its proper divisors (20734754304).

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

9855089664 is a wasteful number, since it uses less digits than its factorization.

9855089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The square root of 9855089664 is about 99272.8042517184. The cubic root of 9855089664 is about 2143.9773518065.

The spelling of 9855089664 in words is "nine billion, eight hundred fifty-five million, eighty-nine thousand, six hundred sixty-four".