9985858560 has 264 divisors, whose sum is σ = 35196773040. Its totient is φ = 2617049088.

The previous prime is 9985858543. The next prime is 9985858577. The reversal of 9985858560 is 658585899.

It is an interprime number because it is at equal distance from previous prime (9985858543) and next prime (9985858577).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2716884 + ... + 2720556.

It is an arithmetic number, because the mean of its divisors is an integer number (133321110).

Almost surely, 2^9985858560 is an apocalyptic number.

9985858560 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 9985858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598386520).

9985858560 is an abundant number, since it is smaller than the sum of its proper divisors (25210914480).

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

9985858560 is a wasteful number, since it uses less digits than its factorization.

9985858560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 63.

The square root of 9985858560 is about 99929.2677847686. The cubic root of 9985858560 is about 2153.4186506425.

The spelling of 9985858560 in words is "nine billion, nine hundred eighty-five million, eight hundred fifty-eight thousand, five hundred sixty".