9860256000 has 864 divisors, whose sum is σ = 41717614848. Its totient is φ = 2189721600.

The previous prime is 9860255989. The next prime is 9860256011. The reversal of 9860256000 is 6520689.

9860256000 is a `hidden beast` number, since 98 + 6 + 0 + 2 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9860255989) and next prime (9860256011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135071964 + ... + 135072036.

Almost surely, 2^9860256000 is an apocalyptic number.

9860256000 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 9860256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20858807424).

9860256000 is an abundant number, since it is smaller than the sum of its proper divisors (31857358848).

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

9860256000 is a wasteful number, since it uses less digits than its factorization.

9860256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9860256000 is about 99298.8217452755. The cubic root of 9860256000 is about 2144.3519322778.

Adding to 9860256000 its reverse (6520689), we get a palindrome (9866776689).

The spelling of 9860256000 in words is "nine billion, eight hundred sixty million, two hundred fifty-six thousand".