9895285620000 has 2520 divisors, whose sum is σ = 41198923624320. Its totient is φ = 2335132800000.

The previous prime is 9895285619971. The next prime is 9895285620001. The reversal of 9895285620000 is 265825989.

9895285620000 is a `hidden beast` number, since 9 + 8 + 9 + 5 + 2 + 8 + 5 + 620 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9895285620001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 125256779961 + ... + 125256780039.

It is an arithmetic number, because the mean of its divisors is an integer number (16348779216).

Almost surely, 2^{9895285620000} is an apocalyptic number.

9895285620000 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 9895285620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599461812160).

9895285620000 is an abundant number, since it is smaller than the sum of its proper divisors (31303638004320).

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

9895285620000 is an equidigital number, since it uses as much as digits as its factorization.

9895285620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 9895285620000 in words is "nine trillion, eight hundred ninety-five billion, two hundred eighty-five million, six hundred twenty thousand".